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Finding the Fourth Proportional to 12,498.52, 17,251.38 and 7,780

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Solution

The fourth proportional to 12,498.52, 17,251.38 and 7,780 is: 10,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.52 : 17,251.38 = 7,780 : x
  2. Step 2: Convert to fraction form
    12,498.52/17,251.38 = 7,780/x
  3. Step 3: Cross multiply
    12,498.52x = 17,251.38 × 7,780
  4. Step 4: Simplify right side
    12,498.52x = 134,215,736.40
  5. Step 5: Solve for x
    x = 134,215,736.40/12,498.52
  6. Step 6: Final answer
    x = 10,738.53

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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.