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Finding the Fourth Proportional to 10,519.77, 15,790.08 and 5,589.45

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Solution

The fourth proportional to 10,519.77, 15,790.08 and 5,589.45 is: 8,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.77 : 15,790.08 = 5,589.45 : x
  2. Step 2: Convert to fraction form
    10,519.77/15,790.08 = 5,589.45/x
  3. Step 3: Cross multiply
    10,519.77x = 15,790.08 × 5,589.45
  4. Step 4: Simplify right side
    10,519.77x = 88,257,862.66
  5. Step 5: Solve for x
    x = 88,257,862.66/10,519.77
  6. Step 6: Final answer
    x = 8,389.71

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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.