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Finding the Fourth Proportional to 11,283.74, 15,571.52 and 6,568

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Solution

The fourth proportional to 11,283.74, 15,571.52 and 6,568 is: 9,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.74 : 15,571.52 = 6,568 : x
  2. Step 2: Convert to fraction form
    11,283.74/15,571.52 = 6,568/x
  3. Step 3: Cross multiply
    11,283.74x = 15,571.52 × 6,568
  4. Step 4: Simplify right side
    11,283.74x = 102,273,743.36
  5. Step 5: Solve for x
    x = 102,273,743.36/11,283.74
  6. Step 6: Final answer
    x = 9,063.82

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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.