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Finding the Fourth Proportional to 8,416.31, 12,626.69 and 7,498.24

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Solution

The fourth proportional to 8,416.31, 12,626.69 and 7,498.24 is: 11,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.31 : 12,626.69 = 7,498.24 : x
  2. Step 2: Convert to fraction form
    8,416.31/12,626.69 = 7,498.24/x
  3. Step 3: Cross multiply
    8,416.31x = 12,626.69 × 7,498.24
  4. Step 4: Simplify right side
    8,416.31x = 94,677,882.97
  5. Step 5: Solve for x
    x = 94,677,882.97/8,416.31
  6. Step 6: Final answer
    x = 11,249.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.