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Finding the Fourth Proportional to 10,489.44, 14,470.80 and 6,502.56

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Solution

The fourth proportional to 10,489.44, 14,470.80 and 6,502.56 is: 8,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.44 : 14,470.80 = 6,502.56 : x
  2. Step 2: Convert to fraction form
    10,489.44/14,470.80 = 6,502.56/x
  3. Step 3: Cross multiply
    10,489.44x = 14,470.80 × 6,502.56
  4. Step 4: Simplify right side
    10,489.44x = 94,097,245.25
  5. Step 5: Solve for x
    x = 94,097,245.25/10,489.44
  6. Step 6: Final answer
    x = 8,970.66

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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.