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Finding the Fourth Proportional to 8,440.46, 11,631.39 and 6,078.14

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Solution

The fourth proportional to 8,440.46, 11,631.39 and 6,078.14 is: 8,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.46 : 11,631.39 = 6,078.14 : x
  2. Step 2: Convert to fraction form
    8,440.46/11,631.39 = 6,078.14/x
  3. Step 3: Cross multiply
    8,440.46x = 11,631.39 × 6,078.14
  4. Step 4: Simplify right side
    8,440.46x = 70,697,216.81
  5. Step 5: Solve for x
    x = 70,697,216.81/8,440.46
  6. Step 6: Final answer
    x = 8,375.99

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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.