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Finding the Fourth Proportional to 8,908.68, 12,294.92 and 5,132

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Solution

The fourth proportional to 8,908.68, 12,294.92 and 5,132 is: 7,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.68 : 12,294.92 = 5,132 : x
  2. Step 2: Convert to fraction form
    8,908.68/12,294.92 = 5,132/x
  3. Step 3: Cross multiply
    8,908.68x = 12,294.92 × 5,132
  4. Step 4: Simplify right side
    8,908.68x = 63,097,529.44
  5. Step 5: Solve for x
    x = 63,097,529.44/8,908.68
  6. Step 6: Final answer
    x = 7,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.