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Finding the Fourth Proportional to 10,490.22, 14,471.72 and 6,238.86

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Solution

The fourth proportional to 10,490.22, 14,471.72 and 6,238.86 is: 8,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.22 : 14,471.72 = 6,238.86 : x
  2. Step 2: Convert to fraction form
    10,490.22/14,471.72 = 6,238.86/x
  3. Step 3: Cross multiply
    10,490.22x = 14,471.72 × 6,238.86
  4. Step 4: Simplify right side
    10,490.22x = 90,287,035.04
  5. Step 5: Solve for x
    x = 90,287,035.04/10,490.22
  6. Step 6: Final answer
    x = 8,606.78

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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.