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Finding the Fourth Proportional to 8,033.14, 12,034.32 and 4,903.84

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Solution

The fourth proportional to 8,033.14, 12,034.32 and 4,903.84 is: 7,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.14 : 12,034.32 = 4,903.84 : x
  2. Step 2: Convert to fraction form
    8,033.14/12,034.32 = 4,903.84/x
  3. Step 3: Cross multiply
    8,033.14x = 12,034.32 × 4,903.84
  4. Step 4: Simplify right side
    8,033.14x = 59,014,379.79
  5. Step 5: Solve for x
    x = 59,014,379.79/8,033.14
  6. Step 6: Final answer
    x = 7,346.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.