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Finding the Fourth Proportional to 8,034.74, 11,087.42 and 4,497.92

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Solution

The fourth proportional to 8,034.74, 11,087.42 and 4,497.92 is: 6,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.74 : 11,087.42 = 4,497.92 : x
  2. Step 2: Convert to fraction form
    8,034.74/11,087.42 = 4,497.92/x
  3. Step 3: Cross multiply
    8,034.74x = 11,087.42 × 4,497.92
  4. Step 4: Simplify right side
    8,034.74x = 49,870,328.17
  5. Step 5: Solve for x
    x = 49,870,328.17/8,034.74
  6. Step 6: Final answer
    x = 6,206.84

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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.