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Finding the Fourth Proportional to 11,616.84, 16,031.39 and 6,311.75

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Solution

The fourth proportional to 11,616.84, 16,031.39 and 6,311.75 is: 8,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.84 : 16,031.39 = 6,311.75 : x
  2. Step 2: Convert to fraction form
    11,616.84/16,031.39 = 6,311.75/x
  3. Step 3: Cross multiply
    11,616.84x = 16,031.39 × 6,311.75
  4. Step 4: Simplify right side
    11,616.84x = 101,186,125.83
  5. Step 5: Solve for x
    x = 101,186,125.83/11,616.84
  6. Step 6: Final answer
    x = 8,710.30

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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.