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Finding the Fourth Proportional to 8,502.60, 11,717.16 and 5,666.78

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Solution

The fourth proportional to 8,502.60, 11,717.16 and 5,666.78 is: 7,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.60 : 11,717.16 = 5,666.78 : x
  2. Step 2: Convert to fraction form
    8,502.60/11,717.16 = 5,666.78/x
  3. Step 3: Cross multiply
    8,502.60x = 11,717.16 × 5,666.78
  4. Step 4: Simplify right side
    8,502.60x = 66,398,567.94
  5. Step 5: Solve for x
    x = 66,398,567.94/8,502.60
  6. Step 6: Final answer
    x = 7,809.21

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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.