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Finding the Fourth Proportional to 10,861.88, 16,261.10 and 6,689.36

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Solution

The fourth proportional to 10,861.88, 16,261.10 and 6,689.36 is: 10,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.88 : 16,261.10 = 6,689.36 : x
  2. Step 2: Convert to fraction form
    10,861.88/16,261.10 = 6,689.36/x
  3. Step 3: Cross multiply
    10,861.88x = 16,261.10 × 6,689.36
  4. Step 4: Simplify right side
    10,861.88x = 108,776,351.90
  5. Step 5: Solve for x
    x = 108,776,351.90/10,861.88
  6. Step 6: Final answer
    x = 10,014.51

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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.