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Finding the Fourth Proportional to 10,262.49, 15,393.17 and 4,023.61

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Solution

The fourth proportional to 10,262.49, 15,393.17 and 4,023.61 is: 6,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.49 : 15,393.17 = 4,023.61 : x
  2. Step 2: Convert to fraction form
    10,262.49/15,393.17 = 4,023.61/x
  3. Step 3: Cross multiply
    10,262.49x = 15,393.17 × 4,023.61
  4. Step 4: Simplify right side
    10,262.49x = 61,936,112.74
  5. Step 5: Solve for x
    x = 61,936,112.74/10,262.49
  6. Step 6: Final answer
    x = 6,035.19

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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.