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Finding the Fourth Proportional to 7,470.70, 11,174.84 and 5,249.38

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Solution

The fourth proportional to 7,470.70, 11,174.84 and 5,249.38 is: 7,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.70 : 11,174.84 = 5,249.38 : x
  2. Step 2: Convert to fraction form
    7,470.70/11,174.84 = 5,249.38/x
  3. Step 3: Cross multiply
    7,470.70x = 11,174.84 × 5,249.38
  4. Step 4: Simplify right side
    7,470.70x = 58,660,947.10
  5. Step 5: Solve for x
    x = 58,660,947.10/7,470.70
  6. Step 6: Final answer
    x = 7,852.13

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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.