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Finding the Fourth Proportional to 8,449.20, 11,663.64 and 5,577.84

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Solution

The fourth proportional to 8,449.20, 11,663.64 and 5,577.84 is: 7,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.20 : 11,663.64 = 5,577.84 : x
  2. Step 2: Convert to fraction form
    8,449.20/11,663.64 = 5,577.84/x
  3. Step 3: Cross multiply
    8,449.20x = 11,663.64 × 5,577.84
  4. Step 4: Simplify right side
    8,449.20x = 65,057,917.74
  5. Step 5: Solve for x
    x = 65,057,917.74/8,449.20
  6. Step 6: Final answer
    x = 7,699.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.