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Finding the Fourth Proportional to 10,177.44, 15,237.44 and 6,470.56

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Solution

The fourth proportional to 10,177.44, 15,237.44 and 6,470.56 is: 9,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.44 : 15,237.44 = 6,470.56 : x
  2. Step 2: Convert to fraction form
    10,177.44/15,237.44 = 6,470.56/x
  3. Step 3: Cross multiply
    10,177.44x = 15,237.44 × 6,470.56
  4. Step 4: Simplify right side
    10,177.44x = 98,594,769.77
  5. Step 5: Solve for x
    x = 98,594,769.77/10,177.44
  6. Step 6: Final answer
    x = 9,687.58

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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.