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Finding the Fourth Proportional to 7,577.20, 11,363.37 and 6,605.20

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Solution

The fourth proportional to 7,577.20, 11,363.37 and 6,605.20 is: 9,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.20 : 11,363.37 = 6,605.20 : x
  2. Step 2: Convert to fraction form
    7,577.20/11,363.37 = 6,605.20/x
  3. Step 3: Cross multiply
    7,577.20x = 11,363.37 × 6,605.20
  4. Step 4: Simplify right side
    7,577.20x = 75,057,331.52
  5. Step 5: Solve for x
    x = 75,057,331.52/7,577.20
  6. Step 6: Final answer
    x = 9,905.68

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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.