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Finding the Fourth Proportional to 7,744.86, 11,616.48 and 3,063.87

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Solution

The fourth proportional to 7,744.86, 11,616.48 and 3,063.87 is: 4,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.86 : 11,616.48 = 3,063.87 : x
  2. Step 2: Convert to fraction form
    7,744.86/11,616.48 = 3,063.87/x
  3. Step 3: Cross multiply
    7,744.86x = 11,616.48 × 3,063.87
  4. Step 4: Simplify right side
    7,744.86x = 35,591,384.58
  5. Step 5: Solve for x
    x = 35,591,384.58/7,744.86
  6. Step 6: Final answer
    x = 4,595.48

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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.