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Finding the Fourth Proportional to 10,572.76, 15,858.96 and 3,177.28

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Solution

The fourth proportional to 10,572.76, 15,858.96 and 3,177.28 is: 4,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.76 : 15,858.96 = 3,177.28 : x
  2. Step 2: Convert to fraction form
    10,572.76/15,858.96 = 3,177.28/x
  3. Step 3: Cross multiply
    10,572.76x = 15,858.96 × 3,177.28
  4. Step 4: Simplify right side
    10,572.76x = 50,388,356.43
  5. Step 5: Solve for x
    x = 50,388,356.43/10,572.76
  6. Step 6: Final answer
    x = 4,765.87

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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.