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Finding the Fourth Proportional to 7,744.59, 11,617.65 and 2,478.28

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Solution

The fourth proportional to 7,744.59, 11,617.65 and 2,478.28 is: 3,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.59 : 11,617.65 = 2,478.28 : x
  2. Step 2: Convert to fraction form
    7,744.59/11,617.65 = 2,478.28/x
  3. Step 3: Cross multiply
    7,744.59x = 11,617.65 × 2,478.28
  4. Step 4: Simplify right side
    7,744.59x = 28,791,760.60
  5. Step 5: Solve for x
    x = 28,791,760.60/7,744.59
  6. Step 6: Final answer
    x = 3,717.66

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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.