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Finding the Fourth Proportional to 10,105.32, 13,951.13 and 6,753.81

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Solution

The fourth proportional to 10,105.32, 13,951.13 and 6,753.81 is: 9,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.32 : 13,951.13 = 6,753.81 : x
  2. Step 2: Convert to fraction form
    10,105.32/13,951.13 = 6,753.81/x
  3. Step 3: Cross multiply
    10,105.32x = 13,951.13 × 6,753.81
  4. Step 4: Simplify right side
    10,105.32x = 94,223,247.54
  5. Step 5: Solve for x
    x = 94,223,247.54/10,105.32
  6. Step 6: Final answer
    x = 9,324.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.