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Finding the Fourth Proportional to 8,416.92, 11,615.34 and 4,882.20

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Solution

The fourth proportional to 8,416.92, 11,615.34 and 4,882.20 is: 6,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.92 : 11,615.34 = 4,882.20 : x
  2. Step 2: Convert to fraction form
    8,416.92/11,615.34 = 4,882.20/x
  3. Step 3: Cross multiply
    8,416.92x = 11,615.34 × 4,882.20
  4. Step 4: Simplify right side
    8,416.92x = 56,708,412.95
  5. Step 5: Solve for x
    x = 56,708,412.95/8,416.92
  6. Step 6: Final answer
    x = 6,737.43

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