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Finding the Fourth Proportional to 7,729.80, 10,666.17 and 5,490.87

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Solution

The fourth proportional to 7,729.80, 10,666.17 and 5,490.87 is: 7,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 10,666.17 = 5,490.87 : x
  2. Step 2: Convert to fraction form
    7,729.80/10,666.17 = 5,490.87/x
  3. Step 3: Cross multiply
    7,729.80x = 10,666.17 × 5,490.87
  4. Step 4: Simplify right side
    7,729.80x = 58,566,552.87
  5. Step 5: Solve for x
    x = 58,566,552.87/7,729.80
  6. Step 6: Final answer
    x = 7,576.72

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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.