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Finding the Fourth Proportional to 10,519.98, 15,780.87 and 3,023.70

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Solution

The fourth proportional to 10,519.98, 15,780.87 and 3,023.70 is: 4,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.98 : 15,780.87 = 3,023.70 : x
  2. Step 2: Convert to fraction form
    10,519.98/15,780.87 = 3,023.70/x
  3. Step 3: Cross multiply
    10,519.98x = 15,780.87 × 3,023.70
  4. Step 4: Simplify right side
    10,519.98x = 47,716,616.62
  5. Step 5: Solve for x
    x = 47,716,616.62/10,519.98
  6. Step 6: Final answer
    x = 4,535.81

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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.