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Finding the Fourth Proportional to 8,416.78, 11,615.20 and 4,882.08

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Solution

The fourth proportional to 8,416.78, 11,615.20 and 4,882.08 is: 6,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.78 : 11,615.20 = 4,882.08 : x
  2. Step 2: Convert to fraction form
    8,416.78/11,615.20 = 4,882.08/x
  3. Step 3: Cross multiply
    8,416.78x = 11,615.20 × 4,882.08
  4. Step 4: Simplify right side
    8,416.78x = 56,706,335.62
  5. Step 5: Solve for x
    x = 56,706,335.62/8,416.78
  6. Step 6: Final answer
    x = 6,737.30

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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.