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Finding the Fourth Proportional to 10,589.40, 14,612.40 and 5,873.52

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Solution

The fourth proportional to 10,589.40, 14,612.40 and 5,873.52 is: 8,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 14,612.40 = 5,873.52 : x
  2. Step 2: Convert to fraction form
    10,589.40/14,612.40 = 5,873.52/x
  3. Step 3: Cross multiply
    10,589.40x = 14,612.40 × 5,873.52
  4. Step 4: Simplify right side
    10,589.40x = 85,826,223.65
  5. Step 5: Solve for x
    x = 85,826,223.65/10,589.40
  6. Step 6: Final answer
    x = 8,104.92

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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.