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Finding the Fourth Proportional to 10,626.24, 15,921.12 and 5,945.24

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Solution

The fourth proportional to 10,626.24, 15,921.12 and 5,945.24 is: 8,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.24 : 15,921.12 = 5,945.24 : x
  2. Step 2: Convert to fraction form
    10,626.24/15,921.12 = 5,945.24/x
  3. Step 3: Cross multiply
    10,626.24x = 15,921.12 × 5,945.24
  4. Step 4: Simplify right side
    10,626.24x = 94,654,879.47
  5. Step 5: Solve for x
    x = 94,654,879.47/10,626.24
  6. Step 6: Final answer
    x = 8,907.65

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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.