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Finding the Fourth Proportional to 12,088.89, 16,684.92 and 7,609.59

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Solution

The fourth proportional to 12,088.89, 16,684.92 and 7,609.59 is: 10,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.89 : 16,684.92 = 7,609.59 : x
  2. Step 2: Convert to fraction form
    12,088.89/16,684.92 = 7,609.59/x
  3. Step 3: Cross multiply
    12,088.89x = 16,684.92 × 7,609.59
  4. Step 4: Simplify right side
    12,088.89x = 126,965,400.38
  5. Step 5: Solve for x
    x = 126,965,400.38/12,088.89
  6. Step 6: Final answer
    x = 10,502.65

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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.