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Finding the Fourth Proportional to 8,034.12, 11,078.64 and 5,382.12

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Solution

The fourth proportional to 8,034.12, 11,078.64 and 5,382.12 is: 7,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.12 : 11,078.64 = 5,382.12 : x
  2. Step 2: Convert to fraction form
    8,034.12/11,078.64 = 5,382.12/x
  3. Step 3: Cross multiply
    8,034.12x = 11,078.64 × 5,382.12
  4. Step 4: Simplify right side
    8,034.12x = 59,626,569.92
  5. Step 5: Solve for x
    x = 59,626,569.92/8,034.12
  6. Step 6: Final answer
    x = 7,421.67

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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.