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Finding the Fourth Proportional to 7,761.86, 10,711.68 and 4,618.52

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Solution

The fourth proportional to 7,761.86, 10,711.68 and 4,618.52 is: 6,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.86 : 10,711.68 = 4,618.52 : x
  2. Step 2: Convert to fraction form
    7,761.86/10,711.68 = 4,618.52/x
  3. Step 3: Cross multiply
    7,761.86x = 10,711.68 × 4,618.52
  4. Step 4: Simplify right side
    7,761.86x = 49,472,108.31
  5. Step 5: Solve for x
    x = 49,472,108.31/7,761.86
  6. Step 6: Final answer
    x = 6,373.74

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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.