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Finding the Fourth Proportional to 10,224.66, 15,345.20 and 5,295.72

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Solution

The fourth proportional to 10,224.66, 15,345.20 and 5,295.72 is: 7,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.66 : 15,345.20 = 5,295.72 : x
  2. Step 2: Convert to fraction form
    10,224.66/15,345.20 = 5,295.72/x
  3. Step 3: Cross multiply
    10,224.66x = 15,345.20 × 5,295.72
  4. Step 4: Simplify right side
    10,224.66x = 81,263,882.54
  5. Step 5: Solve for x
    x = 81,263,882.54/10,224.66
  6. Step 6: Final answer
    x = 7,947.83

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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.