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Finding the Fourth Proportional to 8,314.56, 12,475.98 and 4,419

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Solution

The fourth proportional to 8,314.56, 12,475.98 and 4,419 is: 6,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.56 : 12,475.98 = 4,419 : x
  2. Step 2: Convert to fraction form
    8,314.56/12,475.98 = 4,419/x
  3. Step 3: Cross multiply
    8,314.56x = 12,475.98 × 4,419
  4. Step 4: Simplify right side
    8,314.56x = 55,131,355.62
  5. Step 5: Solve for x
    x = 55,131,355.62/8,314.56
  6. Step 6: Final answer
    x = 6,630.70

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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.