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Finding the Fourth Proportional to 8,499.40, 12,758.70 and 6,560.20

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Solution

The fourth proportional to 8,499.40, 12,758.70 and 6,560.20 is: 9,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.40 : 12,758.70 = 6,560.20 : x
  2. Step 2: Convert to fraction form
    8,499.40/12,758.70 = 6,560.20/x
  3. Step 3: Cross multiply
    8,499.40x = 12,758.70 × 6,560.20
  4. Step 4: Simplify right side
    8,499.40x = 83,699,623.74
  5. Step 5: Solve for x
    x = 83,699,623.74/8,499.40
  6. Step 6: Final answer
    x = 9,847.71

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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.