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Finding the Fourth Proportional to 8,416.86, 12,627.72 and 3,486.78

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Solution

The fourth proportional to 8,416.86, 12,627.72 and 3,486.78 is: 5,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.86 : 12,627.72 = 3,486.78 : x
  2. Step 2: Convert to fraction form
    8,416.86/12,627.72 = 3,486.78/x
  3. Step 3: Cross multiply
    8,416.86x = 12,627.72 × 3,486.78
  4. Step 4: Simplify right side
    8,416.86x = 44,030,081.54
  5. Step 5: Solve for x
    x = 44,030,081.54/8,416.86
  6. Step 6: Final answer
    x = 5,231.18

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