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Finding the Fourth Proportional to 8,827.32, 13,221.54 and 5,891.88

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Solution

The fourth proportional to 8,827.32, 13,221.54 and 5,891.88 is: 8,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.32 : 13,221.54 = 5,891.88 : x
  2. Step 2: Convert to fraction form
    8,827.32/13,221.54 = 5,891.88/x
  3. Step 3: Cross multiply
    8,827.32x = 13,221.54 × 5,891.88
  4. Step 4: Simplify right side
    8,827.32x = 77,899,727.10
  5. Step 5: Solve for x
    x = 77,899,727.10/8,827.32
  6. Step 6: Final answer
    x = 8,824.84

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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.