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Finding the Fourth Proportional to 7,544.70, 11,315.25 and 2,278.62

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Solution

The fourth proportional to 7,544.70, 11,315.25 and 2,278.62 is: 3,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.70 : 11,315.25 = 2,278.62 : x
  2. Step 2: Convert to fraction form
    7,544.70/11,315.25 = 2,278.62/x
  3. Step 3: Cross multiply
    7,544.70x = 11,315.25 × 2,278.62
  4. Step 4: Simplify right side
    7,544.70x = 25,783,154.96
  5. Step 5: Solve for x
    x = 25,783,154.96/7,544.70
  6. Step 6: Final answer
    x = 3,417.39

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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.