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Finding the Fourth Proportional to 7,636.50, 11,451.06 and 2,953.08

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Solution

The fourth proportional to 7,636.50, 11,451.06 and 2,953.08 is: 4,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.50 : 11,451.06 = 2,953.08 : x
  2. Step 2: Convert to fraction form
    7,636.50/11,451.06 = 2,953.08/x
  3. Step 3: Cross multiply
    7,636.50x = 11,451.06 × 2,953.08
  4. Step 4: Simplify right side
    7,636.50x = 33,815,896.26
  5. Step 5: Solve for x
    x = 33,815,896.26/7,636.50
  6. Step 6: Final answer
    x = 4,428.19

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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.