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Finding the Fourth Proportional to 8,416.86, 11,616.32 and 5,061.44

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Solution

The fourth proportional to 8,416.86, 11,616.32 and 5,061.44 is: 6,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.86 : 11,616.32 = 5,061.44 : x
  2. Step 2: Convert to fraction form
    8,416.86/11,616.32 = 5,061.44/x
  3. Step 3: Cross multiply
    8,416.86x = 11,616.32 × 5,061.44
  4. Step 4: Simplify right side
    8,416.86x = 58,795,306.70
  5. Step 5: Solve for x
    x = 58,795,306.70/8,416.86
  6. Step 6: Final answer
    x = 6,985.42

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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.