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Finding the Fourth Proportional to 8,793.82, 13,165.19 and 6,158.06

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Solution

The fourth proportional to 8,793.82, 13,165.19 and 6,158.06 is: 9,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,793.82 : 13,165.19 = 6,158.06 : x
  2. Step 2: Convert to fraction form
    8,793.82/13,165.19 = 6,158.06/x
  3. Step 3: Cross multiply
    8,793.82x = 13,165.19 × 6,158.06
  4. Step 4: Simplify right side
    8,793.82x = 81,072,029.93
  5. Step 5: Solve for x
    x = 81,072,029.93/8,793.82
  6. Step 6: Final answer
    x = 9,219.21

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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.