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Finding the Fourth Proportional to 10,441.92, 14,409.78 and 5,726.22

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Solution

The fourth proportional to 10,441.92, 14,409.78 and 5,726.22 is: 7,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.92 : 14,409.78 = 5,726.22 : x
  2. Step 2: Convert to fraction form
    10,441.92/14,409.78 = 5,726.22/x
  3. Step 3: Cross multiply
    10,441.92x = 14,409.78 × 5,726.22
  4. Step 4: Simplify right side
    10,441.92x = 82,513,570.43
  5. Step 5: Solve for x
    x = 82,513,570.43/10,441.92
  6. Step 6: Final answer
    x = 7,902.15

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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.