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Finding the Fourth Proportional to 11,902.32, 17,828.28 and 7,517.52

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Solution

The fourth proportional to 11,902.32, 17,828.28 and 7,517.52 is: 11,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.32 : 17,828.28 = 7,517.52 : x
  2. Step 2: Convert to fraction form
    11,902.32/17,828.28 = 7,517.52/x
  3. Step 3: Cross multiply
    11,902.32x = 17,828.28 × 7,517.52
  4. Step 4: Simplify right side
    11,902.32x = 134,024,451.47
  5. Step 5: Solve for x
    x = 134,024,451.47/11,902.32
  6. Step 6: Final answer
    x = 11,260.36

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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.