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Finding the Fourth Proportional to 8,881.20, 12,251.12 and 5,342.24

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Solution

The fourth proportional to 8,881.20, 12,251.12 and 5,342.24 is: 7,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,881.20 : 12,251.12 = 5,342.24 : x
  2. Step 2: Convert to fraction form
    8,881.20/12,251.12 = 5,342.24/x
  3. Step 3: Cross multiply
    8,881.20x = 12,251.12 × 5,342.24
  4. Step 4: Simplify right side
    8,881.20x = 65,448,423.31
  5. Step 5: Solve for x
    x = 65,448,423.31/8,881.20
  6. Step 6: Final answer
    x = 7,369.32

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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.