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Finding the Fourth Proportional to 7,805,225.38, 11,695,701.03 and 5,413,742.50

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Solution

The fourth proportional to 7,805,225.38, 11,695,701.03 and 5,413,742.50 is: 8,112,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805,225.38 : 11,695,701.03 = 5,413,742.50 : x
  2. Step 2: Convert to fraction form
    7,805,225.38/11,695,701.03 = 5,413,742.50/x
  3. Step 3: Cross multiply
    7,805,225.38x = 11,695,701.03 × 5,413,742.50
  4. Step 4: Simplify right side
    7,805,225.38x = 63,317,513,733,404.77
  5. Step 5: Solve for x
    x = 63,317,513,733,404.77/7,805,225.38
  6. Step 6: Final answer
    x = 8,112,195.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.