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Finding the Fourth Proportional to 7,882.96, 11,826.04 and 2,952.48

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Solution

The fourth proportional to 7,882.96, 11,826.04 and 2,952.48 is: 4,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.96 : 11,826.04 = 2,952.48 : x
  2. Step 2: Convert to fraction form
    7,882.96/11,826.04 = 2,952.48/x
  3. Step 3: Cross multiply
    7,882.96x = 11,826.04 × 2,952.48
  4. Step 4: Simplify right side
    7,882.96x = 34,916,146.58
  5. Step 5: Solve for x
    x = 34,916,146.58/7,882.96
  6. Step 6: Final answer
    x = 4,429.32

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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.