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Finding the Fourth Proportional to 7,948.13, 11,922.19 and 2,754

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Solution

The fourth proportional to 7,948.13, 11,922.19 and 2,754 is: 4,131

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.13 : 11,922.19 = 2,754 : x
  2. Step 2: Convert to fraction form
    7,948.13/11,922.19 = 2,754/x
  3. Step 3: Cross multiply
    7,948.13x = 11,922.19 × 2,754
  4. Step 4: Simplify right side
    7,948.13x = 32,833,704.38
  5. Step 5: Solve for x
    x = 32,833,704.38/7,948.13
  6. Step 6: Final answer
    x = 4,131

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.