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Finding the Fourth Proportional to 11,586.87, 17,366.40 and 5,338.31

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Solution

The fourth proportional to 11,586.87, 17,366.40 and 5,338.31 is: 8,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.87 : 17,366.40 = 5,338.31 : x
  2. Step 2: Convert to fraction form
    11,586.87/17,366.40 = 5,338.31/x
  3. Step 3: Cross multiply
    11,586.87x = 17,366.40 × 5,338.31
  4. Step 4: Simplify right side
    11,586.87x = 92,707,139.95
  5. Step 5: Solve for x
    x = 92,707,139.95/11,586.87
  6. Step 6: Final answer
    x = 8,001.05

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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.