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Finding the Fourth Proportional to 12,497.82, 18,747.82 and 5,102.78

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Solution

The fourth proportional to 12,497.82, 18,747.82 and 5,102.78 is: 7,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.82 : 18,747.82 = 5,102.78 : x
  2. Step 2: Convert to fraction form
    12,497.82/18,747.82 = 5,102.78/x
  3. Step 3: Cross multiply
    12,497.82x = 18,747.82 × 5,102.78
  4. Step 4: Simplify right side
    12,497.82x = 95,666,000.94
  5. Step 5: Solve for x
    x = 95,666,000.94/12,497.82
  6. Step 6: Final answer
    x = 7,654.62

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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.