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Finding the Fourth Proportional to 11,661.84, 16,088.10 and 7,883.82

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Solution

The fourth proportional to 11,661.84, 16,088.10 and 7,883.82 is: 10,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.84 : 16,088.10 = 7,883.82 : x
  2. Step 2: Convert to fraction form
    11,661.84/16,088.10 = 7,883.82/x
  3. Step 3: Cross multiply
    11,661.84x = 16,088.10 × 7,883.82
  4. Step 4: Simplify right side
    11,661.84x = 126,835,684.54
  5. Step 5: Solve for x
    x = 126,835,684.54/11,661.84
  6. Step 6: Final answer
    x = 10,876.13

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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.