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Finding the Fourth Proportional to 7,744.10, 11,612.03 and 3,063.92

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Solution

The fourth proportional to 7,744.10, 11,612.03 and 3,063.92 is: 4,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.10 : 11,612.03 = 3,063.92 : x
  2. Step 2: Convert to fraction form
    7,744.10/11,612.03 = 3,063.92/x
  3. Step 3: Cross multiply
    7,744.10x = 11,612.03 × 3,063.92
  4. Step 4: Simplify right side
    7,744.10x = 35,578,257.58
  5. Step 5: Solve for x
    x = 35,578,257.58/7,744.10
  6. Step 6: Final answer
    x = 4,594.24

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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.