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Finding the Fourth Proportional to 11,540.57, 15,924.02 and 6,434.96

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Solution

The fourth proportional to 11,540.57, 15,924.02 and 6,434.96 is: 8,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.57 : 15,924.02 = 6,434.96 : x
  2. Step 2: Convert to fraction form
    11,540.57/15,924.02 = 6,434.96/x
  3. Step 3: Cross multiply
    11,540.57x = 15,924.02 × 6,434.96
  4. Step 4: Simplify right side
    11,540.57x = 102,470,319.94
  5. Step 5: Solve for x
    x = 102,470,319.94/11,540.57
  6. Step 6: Final answer
    x = 8,879.14

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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.