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Finding the Fourth Proportional to 10,233.96, 15,349.02 and 2,838.96

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Solution

The fourth proportional to 10,233.96, 15,349.02 and 2,838.96 is: 4,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.96 : 15,349.02 = 2,838.96 : x
  2. Step 2: Convert to fraction form
    10,233.96/15,349.02 = 2,838.96/x
  3. Step 3: Cross multiply
    10,233.96x = 15,349.02 × 2,838.96
  4. Step 4: Simplify right side
    10,233.96x = 43,575,253.82
  5. Step 5: Solve for x
    x = 43,575,253.82/10,233.96
  6. Step 6: Final answer
    x = 4,257.91

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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.