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Finding the Fourth Proportional to 8,530.80, 12,796.20 and 7,666.80

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Solution

The fourth proportional to 8,530.80, 12,796.20 and 7,666.80 is: 11,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.80 : 12,796.20 = 7,666.80 : x
  2. Step 2: Convert to fraction form
    8,530.80/12,796.20 = 7,666.80/x
  3. Step 3: Cross multiply
    8,530.80x = 12,796.20 × 7,666.80
  4. Step 4: Simplify right side
    8,530.80x = 98,105,906.16
  5. Step 5: Solve for x
    x = 98,105,906.16/8,530.80
  6. Step 6: Final answer
    x = 11,500.20

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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.