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Finding the Fourth Proportional to 8,034.47, 11,087.46 and 4,497.68

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Solution

The fourth proportional to 8,034.47, 11,087.46 and 4,497.68 is: 6,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.47 : 11,087.46 = 4,497.68 : x
  2. Step 2: Convert to fraction form
    8,034.47/11,087.46 = 4,497.68/x
  3. Step 3: Cross multiply
    8,034.47x = 11,087.46 × 4,497.68
  4. Step 4: Simplify right side
    8,034.47x = 49,867,847.09
  5. Step 5: Solve for x
    x = 49,867,847.09/8,034.47
  6. Step 6: Final answer
    x = 6,206.74

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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.