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Finding the Fourth Proportional to 7,494.30, 11,240.46 and 1,948.03

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Solution

The fourth proportional to 7,494.30, 11,240.46 and 1,948.03 is: 2,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.30 : 11,240.46 = 1,948.03 : x
  2. Step 2: Convert to fraction form
    7,494.30/11,240.46 = 1,948.03/x
  3. Step 3: Cross multiply
    7,494.30x = 11,240.46 × 1,948.03
  4. Step 4: Simplify right side
    7,494.30x = 21,896,725.19
  5. Step 5: Solve for x
    x = 21,896,725.19/7,494.30
  6. Step 6: Final answer
    x = 2,921.78

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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.