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Finding the Fourth Proportional to 8,915.56, 12,306.57 and 5,140.24

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Solution

The fourth proportional to 8,915.56, 12,306.57 and 5,140.24 is: 7,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,915.56 : 12,306.57 = 5,140.24 : x
  2. Step 2: Convert to fraction form
    8,915.56/12,306.57 = 5,140.24/x
  3. Step 3: Cross multiply
    8,915.56x = 12,306.57 × 5,140.24
  4. Step 4: Simplify right side
    8,915.56x = 63,258,723.38
  5. Step 5: Solve for x
    x = 63,258,723.38/8,915.56
  6. Step 6: Final answer
    x = 7,095.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.