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Finding the Fourth Proportional to 7,744.96, 11,616.44 and 2,479.53

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Solution

The fourth proportional to 7,744.96, 11,616.44 and 2,479.53 is: 3,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.96 : 11,616.44 = 2,479.53 : x
  2. Step 2: Convert to fraction form
    7,744.96/11,616.44 = 2,479.53/x
  3. Step 3: Cross multiply
    7,744.96x = 11,616.44 × 2,479.53
  4. Step 4: Simplify right side
    7,744.96x = 28,803,311.47
  5. Step 5: Solve for x
    x = 28,803,311.47/7,744.96
  6. Step 6: Final answer
    x = 3,718.97

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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.