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Finding the Fourth Proportional to 7,948.64, 11,915.18 and 3,787.54

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Solution

The fourth proportional to 7,948.64, 11,915.18 and 3,787.54 is: 5,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.64 : 11,915.18 = 3,787.54 : x
  2. Step 2: Convert to fraction form
    7,948.64/11,915.18 = 3,787.54/x
  3. Step 3: Cross multiply
    7,948.64x = 11,915.18 × 3,787.54
  4. Step 4: Simplify right side
    7,948.64x = 45,129,220.86
  5. Step 5: Solve for x
    x = 45,129,220.86/7,948.64
  6. Step 6: Final answer
    x = 5,677.60

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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.