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Finding the Fourth Proportional to 10,589.40, 15,883.92 and 4,015.44

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Solution

The fourth proportional to 10,589.40, 15,883.92 and 4,015.44 is: 6,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 15,883.92 = 4,015.44 : x
  2. Step 2: Convert to fraction form
    10,589.40/15,883.92 = 4,015.44/x
  3. Step 3: Cross multiply
    10,589.40x = 15,883.92 × 4,015.44
  4. Step 4: Simplify right side
    10,589.40x = 63,780,927.72
  5. Step 5: Solve for x
    x = 63,780,927.72/10,589.40
  6. Step 6: Final answer
    x = 6,023.09

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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.