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Finding the Fourth Proportional to 11,592.71, 15,998.56 and 7,342.22

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Solution

The fourth proportional to 11,592.71, 15,998.56 and 7,342.22 is: 10,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.71 : 15,998.56 = 7,342.22 : x
  2. Step 2: Convert to fraction form
    11,592.71/15,998.56 = 7,342.22/x
  3. Step 3: Cross multiply
    11,592.71x = 15,998.56 × 7,342.22
  4. Step 4: Simplify right side
    11,592.71x = 117,464,965.15
  5. Step 5: Solve for x
    x = 117,464,965.15/11,592.71
  6. Step 6: Final answer
    x = 10,132.65

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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.