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Finding the Fourth Proportional to 10,441.90, 14,410.51 and 5,726.18

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Solution

The fourth proportional to 10,441.90, 14,410.51 and 5,726.18 is: 7,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.90 : 14,410.51 = 5,726.18 : x
  2. Step 2: Convert to fraction form
    10,441.90/14,410.51 = 5,726.18/x
  3. Step 3: Cross multiply
    10,441.90x = 14,410.51 × 5,726.18
  4. Step 4: Simplify right side
    10,441.90x = 82,517,195.86
  5. Step 5: Solve for x
    x = 82,517,195.86/10,441.90
  6. Step 6: Final answer
    x = 7,902.51

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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.