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Finding the Fourth Proportional to 7,154.87, 10,734.17 and 2,712.62

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Solution

The fourth proportional to 7,154.87, 10,734.17 and 2,712.62 is: 4,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.87 : 10,734.17 = 2,712.62 : x
  2. Step 2: Convert to fraction form
    7,154.87/10,734.17 = 2,712.62/x
  3. Step 3: Cross multiply
    7,154.87x = 10,734.17 × 2,712.62
  4. Step 4: Simplify right side
    7,154.87x = 29,117,737.50
  5. Step 5: Solve for x
    x = 29,117,737.50/7,154.87
  6. Step 6: Final answer
    x = 4,069.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.