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Finding the Fourth Proportional to 7,530.80, 11,296.20 and 5,586.80

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Solution

The fourth proportional to 7,530.80, 11,296.20 and 5,586.80 is: 8,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.80 : 11,296.20 = 5,586.80 : x
  2. Step 2: Convert to fraction form
    7,530.80/11,296.20 = 5,586.80/x
  3. Step 3: Cross multiply
    7,530.80x = 11,296.20 × 5,586.80
  4. Step 4: Simplify right side
    7,530.80x = 63,109,610.16
  5. Step 5: Solve for x
    x = 63,109,610.16/7,530.80
  6. Step 6: Final answer
    x = 8,380.20

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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.