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Finding the Fourth Proportional to 11,379.56, 15,697.70 and 7,844.52

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Solution

The fourth proportional to 11,379.56, 15,697.70 and 7,844.52 is: 10,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.56 : 15,697.70 = 7,844.52 : x
  2. Step 2: Convert to fraction form
    11,379.56/15,697.70 = 7,844.52/x
  3. Step 3: Cross multiply
    11,379.56x = 15,697.70 × 7,844.52
  4. Step 4: Simplify right side
    11,379.56x = 123,140,921.60
  5. Step 5: Solve for x
    x = 123,140,921.60/11,379.56
  6. Step 6: Final answer
    x = 10,821.24

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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.