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Finding the Fourth Proportional to 7,154.53, 10,734.12 and 2,995.68

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Solution

The fourth proportional to 7,154.53, 10,734.12 and 2,995.68 is: 4,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.53 : 10,734.12 = 2,995.68 : x
  2. Step 2: Convert to fraction form
    7,154.53/10,734.12 = 2,995.68/x
  3. Step 3: Cross multiply
    7,154.53x = 10,734.12 × 2,995.68
  4. Step 4: Simplify right side
    7,154.53x = 32,156,028.85
  5. Step 5: Solve for x
    x = 32,156,028.85/7,154.53
  6. Step 6: Final answer
    x = 4,494.50

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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.