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Finding the Fourth Proportional to 11,872.22, 16,381.70 and 6,566

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Solution

The fourth proportional to 11,872.22, 16,381.70 and 6,566 is: 9,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.22 : 16,381.70 = 6,566 : x
  2. Step 2: Convert to fraction form
    11,872.22/16,381.70 = 6,566/x
  3. Step 3: Cross multiply
    11,872.22x = 16,381.70 × 6,566
  4. Step 4: Simplify right side
    11,872.22x = 107,562,242.20
  5. Step 5: Solve for x
    x = 107,562,242.20/11,872.22
  6. Step 6: Final answer
    x = 9,059.99

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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.