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Finding the Fourth Proportional to 10,607.12, 15,912.32 and 3,680

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Solution

The fourth proportional to 10,607.12, 15,912.32 and 3,680 is: 5,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.12 : 15,912.32 = 3,680 : x
  2. Step 2: Convert to fraction form
    10,607.12/15,912.32 = 3,680/x
  3. Step 3: Cross multiply
    10,607.12x = 15,912.32 × 3,680
  4. Step 4: Simplify right side
    10,607.12x = 58,557,337.60
  5. Step 5: Solve for x
    x = 58,557,337.60/10,607.12
  6. Step 6: Final answer
    x = 5,520.57

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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.