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Finding the Fourth Proportional to 11,599.71, 17,398.76 and 3,702.08

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Solution

The fourth proportional to 11,599.71, 17,398.76 and 3,702.08 is: 5,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.71 : 17,398.76 = 3,702.08 : x
  2. Step 2: Convert to fraction form
    11,599.71/17,398.76 = 3,702.08/x
  3. Step 3: Cross multiply
    11,599.71x = 17,398.76 × 3,702.08
  4. Step 4: Simplify right side
    11,599.71x = 64,411,495.92
  5. Step 5: Solve for x
    x = 64,411,495.92/11,599.71
  6. Step 6: Final answer
    x = 5,552.85

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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.