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Finding the Fourth Proportional to 10,490.32, 15,729.36 and 4,253.32

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Solution

The fourth proportional to 10,490.32, 15,729.36 and 4,253.32 is: 6,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.32 : 15,729.36 = 4,253.32 : x
  2. Step 2: Convert to fraction form
    10,490.32/15,729.36 = 4,253.32/x
  3. Step 3: Cross multiply
    10,490.32x = 15,729.36 × 4,253.32
  4. Step 4: Simplify right side
    10,490.32x = 66,902,001.48
  5. Step 5: Solve for x
    x = 66,902,001.48/10,490.32
  6. Step 6: Final answer
    x = 6,377.50

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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.