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Finding the Fourth Proportional to 11,470.80, 15,806.70 and 8,486.76

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Solution

The fourth proportional to 11,470.80, 15,806.70 and 8,486.76 is: 11,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.80 : 15,806.70 = 8,486.76 : x
  2. Step 2: Convert to fraction form
    11,470.80/15,806.70 = 8,486.76/x
  3. Step 3: Cross multiply
    11,470.80x = 15,806.70 × 8,486.76
  4. Step 4: Simplify right side
    11,470.80x = 134,147,669.29
  5. Step 5: Solve for x
    x = 134,147,669.29/11,470.80
  6. Step 6: Final answer
    x = 11,694.71

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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.