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Finding the Fourth Proportional to 8,686.11, 11,988.48 and 5,853.48

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Solution

The fourth proportional to 8,686.11, 11,988.48 and 5,853.48 is: 8,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.11 : 11,988.48 = 5,853.48 : x
  2. Step 2: Convert to fraction form
    8,686.11/11,988.48 = 5,853.48/x
  3. Step 3: Cross multiply
    8,686.11x = 11,988.48 × 5,853.48
  4. Step 4: Simplify right side
    8,686.11x = 70,174,327.91
  5. Step 5: Solve for x
    x = 70,174,327.91/8,686.11
  6. Step 6: Final answer
    x = 8,078.91

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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.