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Finding the Fourth Proportional to 8,384.16, 12,566.16 and 5,915.28

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Solution

The fourth proportional to 8,384.16, 12,566.16 and 5,915.28 is: 8,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.16 : 12,566.16 = 5,915.28 : x
  2. Step 2: Convert to fraction form
    8,384.16/12,566.16 = 5,915.28/x
  3. Step 3: Cross multiply
    8,384.16x = 12,566.16 × 5,915.28
  4. Step 4: Simplify right side
    8,384.16x = 74,332,354.92
  5. Step 5: Solve for x
    x = 74,332,354.92/8,384.16
  6. Step 6: Final answer
    x = 8,865.81

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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.