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Finding the Fourth Proportional to 11,863.64, 16,370.39 and 6,557.72

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Solution

The fourth proportional to 11,863.64, 16,370.39 and 6,557.72 is: 9,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.64 : 16,370.39 = 6,557.72 : x
  2. Step 2: Convert to fraction form
    11,863.64/16,370.39 = 6,557.72/x
  3. Step 3: Cross multiply
    11,863.64x = 16,370.39 × 6,557.72
  4. Step 4: Simplify right side
    11,863.64x = 107,352,401.12
  5. Step 5: Solve for x
    x = 107,352,401.12/11,863.64
  6. Step 6: Final answer
    x = 9,048.86

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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.