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Finding the Fourth Proportional to 10,915.20, 16,346.88 and 7,787.52

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Solution

The fourth proportional to 10,915.20, 16,346.88 and 7,787.52 is: 11,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.20 : 16,346.88 = 7,787.52 : x
  2. Step 2: Convert to fraction form
    10,915.20/16,346.88 = 7,787.52/x
  3. Step 3: Cross multiply
    10,915.20x = 16,346.88 × 7,787.52
  4. Step 4: Simplify right side
    10,915.20x = 127,301,654.94
  5. Step 5: Solve for x
    x = 127,301,654.94/10,915.20
  6. Step 6: Final answer
    x = 11,662.79

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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.