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Finding the Fourth Proportional to 8,311.78, 12,470.02 and 3,384.96

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Solution

The fourth proportional to 8,311.78, 12,470.02 and 3,384.96 is: 5,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.78 : 12,470.02 = 3,384.96 : x
  2. Step 2: Convert to fraction form
    8,311.78/12,470.02 = 3,384.96/x
  3. Step 3: Cross multiply
    8,311.78x = 12,470.02 × 3,384.96
  4. Step 4: Simplify right side
    8,311.78x = 42,210,518.90
  5. Step 5: Solve for x
    x = 42,210,518.90/8,311.78
  6. Step 6: Final answer
    x = 5,078.40

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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.