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Finding the Fourth Proportional to 7,454.70, 11,182.46 and 2,260.17

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Solution

The fourth proportional to 7,454.70, 11,182.46 and 2,260.17 is: 3,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.70 : 11,182.46 = 2,260.17 : x
  2. Step 2: Convert to fraction form
    7,454.70/11,182.46 = 2,260.17/x
  3. Step 3: Cross multiply
    7,454.70x = 11,182.46 × 2,260.17
  4. Step 4: Simplify right side
    7,454.70x = 25,274,249.32
  5. Step 5: Solve for x
    x = 25,274,249.32/7,454.70
  6. Step 6: Final answer
    x = 3,390.38

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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.