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Finding the Fourth Proportional to 8,666.14, 11,957.46 and 5,309.71

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Solution

The fourth proportional to 8,666.14, 11,957.46 and 5,309.71 is: 7,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.14 : 11,957.46 = 5,309.71 : x
  2. Step 2: Convert to fraction form
    8,666.14/11,957.46 = 5,309.71/x
  3. Step 3: Cross multiply
    8,666.14x = 11,957.46 × 5,309.71
  4. Step 4: Simplify right side
    8,666.14x = 63,490,644.94
  5. Step 5: Solve for x
    x = 63,490,644.94/8,666.14
  6. Step 6: Final answer
    x = 7,326.29

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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.