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Finding the Fourth Proportional to 10,221.26, 15,333.12 and 3,648.11

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Solution

The fourth proportional to 10,221.26, 15,333.12 and 3,648.11 is: 5,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.26 : 15,333.12 = 3,648.11 : x
  2. Step 2: Convert to fraction form
    10,221.26/15,333.12 = 3,648.11/x
  3. Step 3: Cross multiply
    10,221.26x = 15,333.12 × 3,648.11
  4. Step 4: Simplify right side
    10,221.26x = 55,936,831.74
  5. Step 5: Solve for x
    x = 55,936,831.74/10,221.26
  6. Step 6: Final answer
    x = 5,472.60

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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.