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Finding the Fourth Proportional to 8,827.68, 13,227.04 and 5,354.40

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Solution

The fourth proportional to 8,827.68, 13,227.04 and 5,354.40 is: 8,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.68 : 13,227.04 = 5,354.40 : x
  2. Step 2: Convert to fraction form
    8,827.68/13,227.04 = 5,354.40/x
  3. Step 3: Cross multiply
    8,827.68x = 13,227.04 × 5,354.40
  4. Step 4: Simplify right side
    8,827.68x = 70,822,862.98
  5. Step 5: Solve for x
    x = 70,822,862.98/8,827.68
  6. Step 6: Final answer
    x = 8,022.82

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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.