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Finding the Fourth Proportional to 11,686.12, 16,127.20 and 6,381.20

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Solution

The fourth proportional to 11,686.12, 16,127.20 and 6,381.20 is: 8,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.12 : 16,127.20 = 6,381.20 : x
  2. Step 2: Convert to fraction form
    11,686.12/16,127.20 = 6,381.20/x
  3. Step 3: Cross multiply
    11,686.12x = 16,127.20 × 6,381.20
  4. Step 4: Simplify right side
    11,686.12x = 102,910,888.64
  5. Step 5: Solve for x
    x = 102,910,888.64/11,686.12
  6. Step 6: Final answer
    x = 8,806.25

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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.