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Finding the Fourth Proportional to 7,138.60, 10,706.28 and 3,438.52

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Solution

The fourth proportional to 7,138.60, 10,706.28 and 3,438.52 is: 5,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.60 : 10,706.28 = 3,438.52 : x
  2. Step 2: Convert to fraction form
    7,138.60/10,706.28 = 3,438.52/x
  3. Step 3: Cross multiply
    7,138.60x = 10,706.28 × 3,438.52
  4. Step 4: Simplify right side
    7,138.60x = 36,813,757.91
  5. Step 5: Solve for x
    x = 36,813,757.91/7,138.60
  6. Step 6: Final answer
    x = 5,157.00

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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.