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Finding the Fourth Proportional to 8,342, 12,513.42 and 2,498.66

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Solution

The fourth proportional to 8,342, 12,513.42 and 2,498.66 is: 3,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 12,513.42 = 2,498.66 : x
  2. Step 2: Convert to fraction form
    8,342/12,513.42 = 2,498.66/x
  3. Step 3: Cross multiply
    8,342x = 12,513.42 × 2,498.66
  4. Step 4: Simplify right side
    8,342x = 31,266,782.02
  5. Step 5: Solve for x
    x = 31,266,782.02/8,342
  6. Step 6: Final answer
    x = 3,748.12

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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.