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Finding the Fourth Proportional to 10,589.75, 15,870.95 and 5,044.80

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Solution

The fourth proportional to 10,589.75, 15,870.95 and 5,044.80 is: 7,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.75 : 15,870.95 = 5,044.80 : x
  2. Step 2: Convert to fraction form
    10,589.75/15,870.95 = 5,044.80/x
  3. Step 3: Cross multiply
    10,589.75x = 15,870.95 × 5,044.80
  4. Step 4: Simplify right side
    10,589.75x = 80,065,768.56
  5. Step 5: Solve for x
    x = 80,065,768.56/10,589.75
  6. Step 6: Final answer
    x = 7,560.69

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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.