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Finding the Fourth Proportional to 8,569.89, 11,826.42 and 4,793.04

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Solution

The fourth proportional to 8,569.89, 11,826.42 and 4,793.04 is: 6,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.89 : 11,826.42 = 4,793.04 : x
  2. Step 2: Convert to fraction form
    8,569.89/11,826.42 = 4,793.04/x
  3. Step 3: Cross multiply
    8,569.89x = 11,826.42 × 4,793.04
  4. Step 4: Simplify right side
    8,569.89x = 56,684,521.70
  5. Step 5: Solve for x
    x = 56,684,521.70/8,569.89
  6. Step 6: Final answer
    x = 6,614.38

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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.