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Finding the Fourth Proportional to 11,616.75, 16,031.19 and 6,311.57

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Solution

The fourth proportional to 11,616.75, 16,031.19 and 6,311.57 is: 8,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.75 : 16,031.19 = 6,311.57 : x
  2. Step 2: Convert to fraction form
    11,616.75/16,031.19 = 6,311.57/x
  3. Step 3: Cross multiply
    11,616.75x = 16,031.19 × 6,311.57
  4. Step 4: Simplify right side
    11,616.75x = 101,181,897.71
  5. Step 5: Solve for x
    x = 101,181,897.71/11,616.75
  6. Step 6: Final answer
    x = 8,710.00

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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.