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Finding the Fourth Proportional to 8,874, 12,246.95 and 5,097.69

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Solution

The fourth proportional to 8,874, 12,246.95 and 5,097.69 is: 7,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874 : 12,246.95 = 5,097.69 : x
  2. Step 2: Convert to fraction form
    8,874/12,246.95 = 5,097.69/x
  3. Step 3: Cross multiply
    8,874x = 12,246.95 × 5,097.69
  4. Step 4: Simplify right side
    8,874x = 62,431,129.06
  5. Step 5: Solve for x
    x = 62,431,129.06/8,874
  6. Step 6: Final answer
    x = 7,035.29

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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.