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Finding the Fourth Proportional to 11,616.87, 16,031.34 and 6,311.70

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Solution

The fourth proportional to 11,616.87, 16,031.34 and 6,311.70 is: 8,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.87 : 16,031.34 = 6,311.70 : x
  2. Step 2: Convert to fraction form
    11,616.87/16,031.34 = 6,311.70/x
  3. Step 3: Cross multiply
    11,616.87x = 16,031.34 × 6,311.70
  4. Step 4: Simplify right side
    11,616.87x = 101,185,008.68
  5. Step 5: Solve for x
    x = 101,185,008.68/11,616.87
  6. Step 6: Final answer
    x = 8,710.18

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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.