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Finding the Fourth Proportional to 8,342, 12,510.84 and 2,497.04

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Solution

The fourth proportional to 8,342, 12,510.84 and 2,497.04 is: 3,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 12,510.84 = 2,497.04 : x
  2. Step 2: Convert to fraction form
    8,342/12,510.84 = 2,497.04/x
  3. Step 3: Cross multiply
    8,342x = 12,510.84 × 2,497.04
  4. Step 4: Simplify right side
    8,342x = 31,240,067.91
  5. Step 5: Solve for x
    x = 31,240,067.91/8,342
  6. Step 6: Final answer
    x = 3,744.91

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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.