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Finding the Fourth Proportional to 8,311.40, 12,461.34 and 3,115.88

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Solution

The fourth proportional to 8,311.40, 12,461.34 and 3,115.88 is: 4,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.40 : 12,461.34 = 3,115.88 : x
  2. Step 2: Convert to fraction form
    8,311.40/12,461.34 = 3,115.88/x
  3. Step 3: Cross multiply
    8,311.40x = 12,461.34 × 3,115.88
  4. Step 4: Simplify right side
    8,311.40x = 38,828,040.08
  5. Step 5: Solve for x
    x = 38,828,040.08/8,311.40
  6. Step 6: Final answer
    x = 4,671.66

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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.