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Finding the Fourth Proportional to 11,668.32, 17,502.47 and 3,877.13

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Solution

The fourth proportional to 11,668.32, 17,502.47 and 3,877.13 is: 5,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.32 : 17,502.47 = 3,877.13 : x
  2. Step 2: Convert to fraction form
    11,668.32/17,502.47 = 3,877.13/x
  3. Step 3: Cross multiply
    11,668.32x = 17,502.47 × 3,877.13
  4. Step 4: Simplify right side
    11,668.32x = 67,859,244.61
  5. Step 5: Solve for x
    x = 67,859,244.61/11,668.32
  6. Step 6: Final answer
    x = 5,815.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.