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Finding the Fourth Proportional to 8,579.80, 12,855.30 and 7,341.40

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Solution

The fourth proportional to 8,579.80, 12,855.30 and 7,341.40 is: 10,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.80 : 12,855.30 = 7,341.40 : x
  2. Step 2: Convert to fraction form
    8,579.80/12,855.30 = 7,341.40/x
  3. Step 3: Cross multiply
    8,579.80x = 12,855.30 × 7,341.40
  4. Step 4: Simplify right side
    8,579.80x = 94,375,899.42
  5. Step 5: Solve for x
    x = 94,375,899.42/8,579.80
  6. Step 6: Final answer
    x = 10,999.78

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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.