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Finding the Fourth Proportional to 11,712.80, 17,557.32 and 3,915.20

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Solution

The fourth proportional to 11,712.80, 17,557.32 and 3,915.20 is: 5,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.80 : 17,557.32 = 3,915.20 : x
  2. Step 2: Convert to fraction form
    11,712.80/17,557.32 = 3,915.20/x
  3. Step 3: Cross multiply
    11,712.80x = 17,557.32 × 3,915.20
  4. Step 4: Simplify right side
    11,712.80x = 68,740,419.26
  5. Step 5: Solve for x
    x = 68,740,419.26/11,712.80
  6. Step 6: Final answer
    x = 5,868.83

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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.