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Finding the Fourth Proportional to 11,788.65, 16,264.29 and 7,310.79

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Solution

The fourth proportional to 11,788.65, 16,264.29 and 7,310.79 is: 10,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.65 : 16,264.29 = 7,310.79 : x
  2. Step 2: Convert to fraction form
    11,788.65/16,264.29 = 7,310.79/x
  3. Step 3: Cross multiply
    11,788.65x = 16,264.29 × 7,310.79
  4. Step 4: Simplify right side
    11,788.65x = 118,904,808.69
  5. Step 5: Solve for x
    x = 118,904,808.69/11,788.65
  6. Step 6: Final answer
    x = 10,086.38

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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.