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Finding the Fourth Proportional to 8,856, 12,221.28 and 5,322.24

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Solution

The fourth proportional to 8,856, 12,221.28 and 5,322.24 is: 7,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856 : 12,221.28 = 5,322.24 : x
  2. Step 2: Convert to fraction form
    8,856/12,221.28 = 5,322.24/x
  3. Step 3: Cross multiply
    8,856x = 12,221.28 × 5,322.24
  4. Step 4: Simplify right side
    8,856x = 65,044,585.27
  5. Step 5: Solve for x
    x = 65,044,585.27/8,856
  6. Step 6: Final answer
    x = 7,344.69

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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.