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Finding the Fourth Proportional to 12,367.76, 18,553.96 and 4,972.78

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Solution

The fourth proportional to 12,367.76, 18,553.96 and 4,972.78 is: 7,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.76 : 18,553.96 = 4,972.78 : x
  2. Step 2: Convert to fraction form
    12,367.76/18,553.96 = 4,972.78/x
  3. Step 3: Cross multiply
    12,367.76x = 18,553.96 × 4,972.78
  4. Step 4: Simplify right side
    12,367.76x = 92,264,761.21
  5. Step 5: Solve for x
    x = 92,264,761.21/12,367.76
  6. Step 6: Final answer
    x = 7,460.10

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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.