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Finding the Fourth Proportional to 10,589.93, 15,874.56 and 5,041.78

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Solution

The fourth proportional to 10,589.93, 15,874.56 and 5,041.78 is: 7,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.93 : 15,874.56 = 5,041.78 : x
  2. Step 2: Convert to fraction form
    10,589.93/15,874.56 = 5,041.78/x
  3. Step 3: Cross multiply
    10,589.93x = 15,874.56 × 5,041.78
  4. Step 4: Simplify right side
    10,589.93x = 80,035,999.43
  5. Step 5: Solve for x
    x = 80,035,999.43/10,589.93
  6. Step 6: Final answer
    x = 7,557.75

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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.