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Finding the Fourth Proportional to 10,589.57, 15,881.12 and 4,016.69

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Solution

The fourth proportional to 10,589.57, 15,881.12 and 4,016.69 is: 6,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.57 : 15,881.12 = 4,016.69 : x
  2. Step 2: Convert to fraction form
    10,589.57/15,881.12 = 4,016.69/x
  3. Step 3: Cross multiply
    10,589.57x = 15,881.12 × 4,016.69
  4. Step 4: Simplify right side
    10,589.57x = 63,789,515.81
  5. Step 5: Solve for x
    x = 63,789,515.81/10,589.57
  6. Step 6: Final answer
    x = 6,023.81

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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.