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Finding the Fourth Proportional to 10,447.16, 15,671.37 and 4,207.15

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Solution

The fourth proportional to 10,447.16, 15,671.37 and 4,207.15 is: 6,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.16 : 15,671.37 = 4,207.15 : x
  2. Step 2: Convert to fraction form
    10,447.16/15,671.37 = 4,207.15/x
  3. Step 3: Cross multiply
    10,447.16x = 15,671.37 × 4,207.15
  4. Step 4: Simplify right side
    10,447.16x = 65,931,704.90
  5. Step 5: Solve for x
    x = 65,931,704.90/10,447.16
  6. Step 6: Final answer
    x = 6,310.97

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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.