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Finding the Fourth Proportional to 8,045.80, 11,091.56 and 5,648.47

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Solution

The fourth proportional to 8,045.80, 11,091.56 and 5,648.47 is: 7,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.80 : 11,091.56 = 5,648.47 : x
  2. Step 2: Convert to fraction form
    8,045.80/11,091.56 = 5,648.47/x
  3. Step 3: Cross multiply
    8,045.80x = 11,091.56 × 5,648.47
  4. Step 4: Simplify right side
    8,045.80x = 62,650,288.46
  5. Step 5: Solve for x
    x = 62,650,288.46/8,045.80
  6. Step 6: Final answer
    x = 7,786.71

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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.