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Finding the Fourth Proportional to 8,434.60, 12,645.30 and 5,147.08

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Solution

The fourth proportional to 8,434.60, 12,645.30 and 5,147.08 is: 7,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.60 : 12,645.30 = 5,147.08 : x
  2. Step 2: Convert to fraction form
    8,434.60/12,645.30 = 5,147.08/x
  3. Step 3: Cross multiply
    8,434.60x = 12,645.30 × 5,147.08
  4. Step 4: Simplify right side
    8,434.60x = 65,086,370.72
  5. Step 5: Solve for x
    x = 65,086,370.72/8,434.60
  6. Step 6: Final answer
    x = 7,716.59

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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.