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Finding the Fourth Proportional to 11,863.71, 17,801.91 and 7,702.74

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Solution

The fourth proportional to 11,863.71, 17,801.91 and 7,702.74 is: 11,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.71 : 17,801.91 = 7,702.74 : x
  2. Step 2: Convert to fraction form
    11,863.71/17,801.91 = 7,702.74/x
  3. Step 3: Cross multiply
    11,863.71x = 17,801.91 × 7,702.74
  4. Step 4: Simplify right side
    11,863.71x = 137,123,484.23
  5. Step 5: Solve for x
    x = 137,123,484.23/11,863.71
  6. Step 6: Final answer
    x = 11,558.23

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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.