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Finding the Fourth Proportional to 8,686.13, 11,996.75 and 5,886.77

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Solution

The fourth proportional to 8,686.13, 11,996.75 and 5,886.77 is: 8,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.13 : 11,996.75 = 5,886.77 : x
  2. Step 2: Convert to fraction form
    8,686.13/11,996.75 = 5,886.77/x
  3. Step 3: Cross multiply
    8,686.13x = 11,996.75 × 5,886.77
  4. Step 4: Simplify right side
    8,686.13x = 70,622,062.73
  5. Step 5: Solve for x
    x = 70,622,062.73/8,686.13
  6. Step 6: Final answer
    x = 8,130.45

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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.