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Finding the Fourth Proportional to 10,471.68, 14,449.19 and 6,225.26

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Solution

The fourth proportional to 10,471.68, 14,449.19 and 6,225.26 is: 8,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.68 : 14,449.19 = 6,225.26 : x
  2. Step 2: Convert to fraction form
    10,471.68/14,449.19 = 6,225.26/x
  3. Step 3: Cross multiply
    10,471.68x = 14,449.19 × 6,225.26
  4. Step 4: Simplify right side
    10,471.68x = 89,949,861.17
  5. Step 5: Solve for x
    x = 89,949,861.17/10,471.68
  6. Step 6: Final answer
    x = 8,589.82

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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.