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Finding the Fourth Proportional to 11,658.43, 16,088.73 and 6,353.24

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Solution

The fourth proportional to 11,658.43, 16,088.73 and 6,353.24 is: 8,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.43 : 16,088.73 = 6,353.24 : x
  2. Step 2: Convert to fraction form
    11,658.43/16,088.73 = 6,353.24/x
  3. Step 3: Cross multiply
    11,658.43x = 16,088.73 × 6,353.24
  4. Step 4: Simplify right side
    11,658.43x = 102,215,458.72
  5. Step 5: Solve for x
    x = 102,215,458.72/11,658.43
  6. Step 6: Final answer
    x = 8,767.51

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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.