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Finding the Fourth Proportional to 10,441.81, 14,410.43 and 5,726.40

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Solution

The fourth proportional to 10,441.81, 14,410.43 and 5,726.40 is: 7,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.81 : 14,410.43 = 5,726.40 : x
  2. Step 2: Convert to fraction form
    10,441.81/14,410.43 = 5,726.40/x
  3. Step 3: Cross multiply
    10,441.81x = 14,410.43 × 5,726.40
  4. Step 4: Simplify right side
    10,441.81x = 82,519,886.35
  5. Step 5: Solve for x
    x = 82,519,886.35/10,441.81
  6. Step 6: Final answer
    x = 7,902.83

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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.