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Finding the Fourth Proportional to 10,502.20, 14,489.22 and 6,254.56

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Solution

The fourth proportional to 10,502.20, 14,489.22 and 6,254.56 is: 8,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.20 : 14,489.22 = 6,254.56 : x
  2. Step 2: Convert to fraction form
    10,502.20/14,489.22 = 6,254.56/x
  3. Step 3: Cross multiply
    10,502.20x = 14,489.22 × 6,254.56
  4. Step 4: Simplify right side
    10,502.20x = 90,623,695.84
  5. Step 5: Solve for x
    x = 90,623,695.84/10,502.20
  6. Step 6: Final answer
    x = 8,629.02

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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.