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Finding the Fourth Proportional to 8,280.71, 11,427.36 and 4,743.92

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Solution

The fourth proportional to 8,280.71, 11,427.36 and 4,743.92 is: 6,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.71 : 11,427.36 = 4,743.92 : x
  2. Step 2: Convert to fraction form
    8,280.71/11,427.36 = 4,743.92/x
  3. Step 3: Cross multiply
    8,280.71x = 11,427.36 × 4,743.92
  4. Step 4: Simplify right side
    8,280.71x = 54,210,481.65
  5. Step 5: Solve for x
    x = 54,210,481.65/8,280.71
  6. Step 6: Final answer
    x = 6,546.60

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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.