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Finding the Fourth Proportional to 10,234.01, 15,351.01 and 2,838.47

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Solution

The fourth proportional to 10,234.01, 15,351.01 and 2,838.47 is: 4,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.01 : 15,351.01 = 2,838.47 : x
  2. Step 2: Convert to fraction form
    10,234.01/15,351.01 = 2,838.47/x
  3. Step 3: Cross multiply
    10,234.01x = 15,351.01 × 2,838.47
  4. Step 4: Simplify right side
    10,234.01x = 43,573,331.61
  5. Step 5: Solve for x
    x = 43,573,331.61/10,234.01
  6. Step 6: Final answer
    x = 4,257.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.