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Finding the Fourth Proportional to 7,158.87, 10,740.87 and 3,209.76

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Solution

The fourth proportional to 7,158.87, 10,740.87 and 3,209.76 is: 4,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.87 : 10,740.87 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    7,158.87/10,740.87 = 3,209.76/x
  3. Step 3: Cross multiply
    7,158.87x = 10,740.87 × 3,209.76
  4. Step 4: Simplify right side
    7,158.87x = 34,475,614.89
  5. Step 5: Solve for x
    x = 34,475,614.89/7,158.87
  6. Step 6: Final answer
    x = 4,815.79

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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.