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Finding the Fourth Proportional to 8,383.77, 11,570.14 and 5,546.24

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Solution

The fourth proportional to 8,383.77, 11,570.14 and 5,546.24 is: 7,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.77 : 11,570.14 = 5,546.24 : x
  2. Step 2: Convert to fraction form
    8,383.77/11,570.14 = 5,546.24/x
  3. Step 3: Cross multiply
    8,383.77x = 11,570.14 × 5,546.24
  4. Step 4: Simplify right side
    8,383.77x = 64,170,765.74
  5. Step 5: Solve for x
    x = 64,170,765.74/8,383.77
  6. Step 6: Final answer
    x = 7,654.17

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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.