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Finding the Fourth Proportional to 7,154.88, 10,731.84 and 2,473.92

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Solution

The fourth proportional to 7,154.88, 10,731.84 and 2,473.92 is: 3,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.88 : 10,731.84 = 2,473.92 : x
  2. Step 2: Convert to fraction form
    7,154.88/10,731.84 = 2,473.92/x
  3. Step 3: Cross multiply
    7,154.88x = 10,731.84 × 2,473.92
  4. Step 4: Simplify right side
    7,154.88x = 26,549,713.61
  5. Step 5: Solve for x
    x = 26,549,713.61/7,154.88
  6. Step 6: Final answer
    x = 3,710.71

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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.