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Finding the Fourth Proportional to 11,658.38, 16,088.57 and 6,353.24

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Solution

The fourth proportional to 11,658.38, 16,088.57 and 6,353.24 is: 8,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.38 : 16,088.57 = 6,353.24 : x
  2. Step 2: Convert to fraction form
    11,658.38/16,088.57 = 6,353.24/x
  3. Step 3: Cross multiply
    11,658.38x = 16,088.57 × 6,353.24
  4. Step 4: Simplify right side
    11,658.38x = 102,214,493.82
  5. Step 5: Solve for x
    x = 102,214,493.82/11,658.38
  6. Step 6: Final answer
    x = 8,767.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.