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Finding the Fourth Proportional to 8,874, 12,244.80 and 5,097.33

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Solution

The fourth proportional to 8,874, 12,244.80 and 5,097.33 is: 7,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874 : 12,244.80 = 5,097.33 : x
  2. Step 2: Convert to fraction form
    8,874/12,244.80 = 5,097.33/x
  3. Step 3: Cross multiply
    8,874x = 12,244.80 × 5,097.33
  4. Step 4: Simplify right side
    8,874x = 62,415,805.50
  5. Step 5: Solve for x
    x = 62,415,805.50/8,874
  6. Step 6: Final answer
    x = 7,033.56

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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.