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Finding the Fourth Proportional to 7,160.92, 10,737.54 and 3,261.88

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Solution

The fourth proportional to 7,160.92, 10,737.54 and 3,261.88 is: 4,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.92 : 10,737.54 = 3,261.88 : x
  2. Step 2: Convert to fraction form
    7,160.92/10,737.54 = 3,261.88/x
  3. Step 3: Cross multiply
    7,160.92x = 10,737.54 × 3,261.88
  4. Step 4: Simplify right side
    7,160.92x = 35,024,566.98
  5. Step 5: Solve for x
    x = 35,024,566.98/7,160.92
  6. Step 6: Final answer
    x = 4,891.07

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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.