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Finding the Fourth Proportional to 10,441.74, 15,655.65 and 5,379.21

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Solution

The fourth proportional to 10,441.74, 15,655.65 and 5,379.21 is: 8,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.74 : 15,655.65 = 5,379.21 : x
  2. Step 2: Convert to fraction form
    10,441.74/15,655.65 = 5,379.21/x
  3. Step 3: Cross multiply
    10,441.74x = 15,655.65 × 5,379.21
  4. Step 4: Simplify right side
    10,441.74x = 84,215,008.86
  5. Step 5: Solve for x
    x = 84,215,008.86/10,441.74
  6. Step 6: Final answer
    x = 8,065.22

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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.