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Finding the Fourth Proportional to 11,686.06, 16,126.82 and 6,381

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Solution

The fourth proportional to 11,686.06, 16,126.82 and 6,381 is: 8,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.06 : 16,126.82 = 6,381 : x
  2. Step 2: Convert to fraction form
    11,686.06/16,126.82 = 6,381/x
  3. Step 3: Cross multiply
    11,686.06x = 16,126.82 × 6,381
  4. Step 4: Simplify right side
    11,686.06x = 102,905,238.42
  5. Step 5: Solve for x
    x = 102,905,238.42/11,686.06
  6. Step 6: Final answer
    x = 8,805.81

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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.