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Finding the Fourth Proportional to 11,863.77, 16,370.71 and 6,557.86

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Solution

The fourth proportional to 11,863.77, 16,370.71 and 6,557.86 is: 9,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.77 : 16,370.71 = 6,557.86 : x
  2. Step 2: Convert to fraction form
    11,863.77/16,370.71 = 6,557.86/x
  3. Step 3: Cross multiply
    11,863.77x = 16,370.71 × 6,557.86
  4. Step 4: Simplify right side
    11,863.77x = 107,356,824.28
  5. Step 5: Solve for x
    x = 107,356,824.28/11,863.77
  6. Step 6: Final answer
    x = 9,049.13

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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.