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Finding the Fourth Proportional to 8,277.71, 12,416.90 and 3,892.10

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Solution

The fourth proportional to 8,277.71, 12,416.90 and 3,892.10 is: 5,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.71 : 12,416.90 = 3,892.10 : x
  2. Step 2: Convert to fraction form
    8,277.71/12,416.90 = 3,892.10/x
  3. Step 3: Cross multiply
    8,277.71x = 12,416.90 × 3,892.10
  4. Step 4: Simplify right side
    8,277.71x = 48,327,734.95
  5. Step 5: Solve for x
    x = 48,327,734.95/8,277.71
  6. Step 6: Final answer
    x = 5,838.30

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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.