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Finding the Fourth Proportional to 7,602.80, 11,404.20 and 7,311.20

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Solution

The fourth proportional to 7,602.80, 11,404.20 and 7,311.20 is: 10,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.80 : 11,404.20 = 7,311.20 : x
  2. Step 2: Convert to fraction form
    7,602.80/11,404.20 = 7,311.20/x
  3. Step 3: Cross multiply
    7,602.80x = 11,404.20 × 7,311.20
  4. Step 4: Simplify right side
    7,602.80x = 83,378,387.04
  5. Step 5: Solve for x
    x = 83,378,387.04/7,602.80
  6. Step 6: Final answer
    x = 10,966.80

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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.