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Finding the Fourth Proportional to 8,311.99, 12,470.07 and 2,765.35

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Solution

The fourth proportional to 8,311.99, 12,470.07 and 2,765.35 is: 4,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.99 : 12,470.07 = 2,765.35 : x
  2. Step 2: Convert to fraction form
    8,311.99/12,470.07 = 2,765.35/x
  3. Step 3: Cross multiply
    8,311.99x = 12,470.07 × 2,765.35
  4. Step 4: Simplify right side
    8,311.99x = 34,484,108.07
  5. Step 5: Solve for x
    x = 34,484,108.07/8,311.99
  6. Step 6: Final answer
    x = 4,148.72

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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.