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Finding the Fourth Proportional to 11,780.15, 16,254.65 and 7,806.65

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Solution

The fourth proportional to 11,780.15, 16,254.65 and 7,806.65 is: 10,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.15 : 16,254.65 = 7,806.65 : x
  2. Step 2: Convert to fraction form
    11,780.15/16,254.65 = 7,806.65/x
  3. Step 3: Cross multiply
    11,780.15x = 16,254.65 × 7,806.65
  4. Step 4: Simplify right side
    11,780.15x = 126,894,324.39
  5. Step 5: Solve for x
    x = 126,894,324.39/11,780.15
  6. Step 6: Final answer
    x = 10,771.88

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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.