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Finding the Fourth Proportional to 11,661.13, 16,079.65 and 7,877.73

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Solution

The fourth proportional to 11,661.13, 16,079.65 and 7,877.73 is: 10,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.13 : 16,079.65 = 7,877.73 : x
  2. Step 2: Convert to fraction form
    11,661.13/16,079.65 = 7,877.73/x
  3. Step 3: Cross multiply
    11,661.13x = 16,079.65 × 7,877.73
  4. Step 4: Simplify right side
    11,661.13x = 126,671,090.74
  5. Step 5: Solve for x
    x = 126,671,090.74/11,661.13
  6. Step 6: Final answer
    x = 10,862.68

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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.