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Finding the Fourth Proportional to 8,535.48, 11,780.86 and 5,546.13

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Solution

The fourth proportional to 8,535.48, 11,780.86 and 5,546.13 is: 7,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.48 : 11,780.86 = 5,546.13 : x
  2. Step 2: Convert to fraction form
    8,535.48/11,780.86 = 5,546.13/x
  3. Step 3: Cross multiply
    8,535.48x = 11,780.86 × 5,546.13
  4. Step 4: Simplify right side
    8,535.48x = 65,338,166.56
  5. Step 5: Solve for x
    x = 65,338,166.56/8,535.48
  6. Step 6: Final answer
    x = 7,654.89

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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.