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Finding the Fourth Proportional to 7,616.52, 11,425.98 and 3,234

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Solution

The fourth proportional to 7,616.52, 11,425.98 and 3,234 is: 4,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.52 : 11,425.98 = 3,234 : x
  2. Step 2: Convert to fraction form
    7,616.52/11,425.98 = 3,234/x
  3. Step 3: Cross multiply
    7,616.52x = 11,425.98 × 3,234
  4. Step 4: Simplify right side
    7,616.52x = 36,951,619.32
  5. Step 5: Solve for x
    x = 36,951,619.32/7,616.52
  6. Step 6: Final answer
    x = 4,851.51

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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.