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Finding the Fourth Proportional to 10,239.78, 15,356.81 and 2,842.48

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Solution

The fourth proportional to 10,239.78, 15,356.81 and 2,842.48 is: 4,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.78 : 15,356.81 = 2,842.48 : x
  2. Step 2: Convert to fraction form
    10,239.78/15,356.81 = 2,842.48/x
  3. Step 3: Cross multiply
    10,239.78x = 15,356.81 × 2,842.48
  4. Step 4: Simplify right side
    10,239.78x = 43,651,425.29
  5. Step 5: Solve for x
    x = 43,651,425.29/10,239.78
  6. Step 6: Final answer
    x = 4,262.93

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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.