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Finding the Fourth Proportional to 11,663.57, 16,083.02 and 7,880.18

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Solution

The fourth proportional to 11,663.57, 16,083.02 and 7,880.18 is: 10,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.57 : 16,083.02 = 7,880.18 : x
  2. Step 2: Convert to fraction form
    11,663.57/16,083.02 = 7,880.18/x
  3. Step 3: Cross multiply
    11,663.57x = 16,083.02 × 7,880.18
  4. Step 4: Simplify right side
    11,663.57x = 126,737,051.79
  5. Step 5: Solve for x
    x = 126,737,051.79/11,663.57
  6. Step 6: Final answer
    x = 10,866.06

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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.