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Finding the Fourth Proportional to 8,438.25, 12,655.29 and 3,503.16

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Solution

The fourth proportional to 8,438.25, 12,655.29 and 3,503.16 is: 5,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.25 : 12,655.29 = 3,503.16 : x
  2. Step 2: Convert to fraction form
    8,438.25/12,655.29 = 3,503.16/x
  3. Step 3: Cross multiply
    8,438.25x = 12,655.29 × 3,503.16
  4. Step 4: Simplify right side
    8,438.25x = 44,333,505.72
  5. Step 5: Solve for x
    x = 44,333,505.72/8,438.25
  6. Step 6: Final answer
    x = 5,253.87

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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.