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Finding the Fourth Proportional to 11,841.20, 16,339.92 and 6,536

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Solution

The fourth proportional to 11,841.20, 16,339.92 and 6,536 is: 9,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.20 : 16,339.92 = 6,536 : x
  2. Step 2: Convert to fraction form
    11,841.20/16,339.92 = 6,536/x
  3. Step 3: Cross multiply
    11,841.20x = 16,339.92 × 6,536
  4. Step 4: Simplify right side
    11,841.20x = 106,797,717.12
  5. Step 5: Solve for x
    x = 106,797,717.12/11,841.20
  6. Step 6: Final answer
    x = 9,019.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.