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Finding the Fourth Proportional to 11,424.76, 15,775.50 and 8,443.96

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Solution

The fourth proportional to 11,424.76, 15,775.50 and 8,443.96 is: 11,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.76 : 15,775.50 = 8,443.96 : x
  2. Step 2: Convert to fraction form
    11,424.76/15,775.50 = 8,443.96/x
  3. Step 3: Cross multiply
    11,424.76x = 15,775.50 × 8,443.96
  4. Step 4: Simplify right side
    11,424.76x = 133,207,690.98
  5. Step 5: Solve for x
    x = 133,207,690.98/11,424.76
  6. Step 6: Final answer
    x = 11,659.56

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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.