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Finding the Fourth Proportional to 11,592.93, 17,388.68 and 7,151.43

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Solution

The fourth proportional to 11,592.93, 17,388.68 and 7,151.43 is: 10,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.93 : 17,388.68 = 7,151.43 : x
  2. Step 2: Convert to fraction form
    11,592.93/17,388.68 = 7,151.43/x
  3. Step 3: Cross multiply
    11,592.93x = 17,388.68 × 7,151.43
  4. Step 4: Simplify right side
    11,592.93x = 124,353,957.26
  5. Step 5: Solve for x
    x = 124,353,957.26/11,592.93
  6. Step 6: Final answer
    x = 10,726.70

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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.