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Finding the Fourth Proportional to 8,314.08, 12,471.13 and 5,546.16

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Solution

The fourth proportional to 8,314.08, 12,471.13 and 5,546.16 is: 8,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.08 : 12,471.13 = 5,546.16 : x
  2. Step 2: Convert to fraction form
    8,314.08/12,471.13 = 5,546.16/x
  3. Step 3: Cross multiply
    8,314.08x = 12,471.13 × 5,546.16
  4. Step 4: Simplify right side
    8,314.08x = 69,166,915.26
  5. Step 5: Solve for x
    x = 69,166,915.26/8,314.08
  6. Step 6: Final answer
    x = 8,319.25

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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.