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Finding the Fourth Proportional to 11,270.71, 15,559.78 and 8,437.06

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Solution

The fourth proportional to 11,270.71, 15,559.78 and 8,437.06 is: 11,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.71 : 15,559.78 = 8,437.06 : x
  2. Step 2: Convert to fraction form
    11,270.71/15,559.78 = 8,437.06/x
  3. Step 3: Cross multiply
    11,270.71x = 15,559.78 × 8,437.06
  4. Step 4: Simplify right side
    11,270.71x = 131,278,847.22
  5. Step 5: Solve for x
    x = 131,278,847.22/11,270.71
  6. Step 6: Final answer
    x = 11,647.79

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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.