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Finding the Fourth Proportional to 11,658.92, 16,088.85 and 6,353.63

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Solution

The fourth proportional to 11,658.92, 16,088.85 and 6,353.63 is: 8,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.92 : 16,088.85 = 6,353.63 : x
  2. Step 2: Convert to fraction form
    11,658.92/16,088.85 = 6,353.63/x
  3. Step 3: Cross multiply
    11,658.92x = 16,088.85 × 6,353.63
  4. Step 4: Simplify right side
    11,658.92x = 102,222,525.92
  5. Step 5: Solve for x
    x = 102,222,525.92/11,658.92
  6. Step 6: Final answer
    x = 8,767.75

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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.