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Finding the Fourth Proportional to 5,776.38, 7,963.11 and 4,117.50

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Solution

The fourth proportional to 5,776.38, 7,963.11 and 4,117.50 is: 5,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.38 : 7,963.11 = 4,117.50 : x
  2. Step 2: Convert to fraction form
    5,776.38/7,963.11 = 4,117.50/x
  3. Step 3: Cross multiply
    5,776.38x = 7,963.11 × 4,117.50
  4. Step 4: Simplify right side
    5,776.38x = 32,788,105.43
  5. Step 5: Solve for x
    x = 32,788,105.43/5,776.38
  6. Step 6: Final answer
    x = 5,676.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.