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Finding the Fourth Proportional to 11,348.71, 15,661.45 and 6,568.80

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Solution

The fourth proportional to 11,348.71, 15,661.45 and 6,568.80 is: 9,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.71 : 15,661.45 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    11,348.71/15,661.45 = 6,568.80/x
  3. Step 3: Cross multiply
    11,348.71x = 15,661.45 × 6,568.80
  4. Step 4: Simplify right side
    11,348.71x = 102,876,882.24
  5. Step 5: Solve for x
    x = 102,876,882.24/11,348.71
  6. Step 6: Final answer
    x = 9,065.07

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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.