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Finding the Fourth Proportional to 7,711.89, 10,641.83 and 4,354.24

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Solution

The fourth proportional to 7,711.89, 10,641.83 and 4,354.24 is: 6,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.89 : 10,641.83 = 4,354.24 : x
  2. Step 2: Convert to fraction form
    7,711.89/10,641.83 = 4,354.24/x
  3. Step 3: Cross multiply
    7,711.89x = 10,641.83 × 4,354.24
  4. Step 4: Simplify right side
    7,711.89x = 46,337,033.48
  5. Step 5: Solve for x
    x = 46,337,033.48/7,711.89
  6. Step 6: Final answer
    x = 6,008.52

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