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Finding the Fourth Proportional to 8,333.20, 12,478.20 and 6,590.80

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Solution

The fourth proportional to 8,333.20, 12,478.20 and 6,590.80 is: 9,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.20 : 12,478.20 = 6,590.80 : x
  2. Step 2: Convert to fraction form
    8,333.20/12,478.20 = 6,590.80/x
  3. Step 3: Cross multiply
    8,333.20x = 12,478.20 × 6,590.80
  4. Step 4: Simplify right side
    8,333.20x = 82,241,320.56
  5. Step 5: Solve for x
    x = 82,241,320.56/8,333.20
  6. Step 6: Final answer
    x = 9,869.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.