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Finding the Fourth Proportional to 11,922.01, 17,882.71 and 5,686.43

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Solution

The fourth proportional to 11,922.01, 17,882.71 and 5,686.43 is: 8,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.01 : 17,882.71 = 5,686.43 : x
  2. Step 2: Convert to fraction form
    11,922.01/17,882.71 = 5,686.43/x
  3. Step 3: Cross multiply
    11,922.01x = 17,882.71 × 5,686.43
  4. Step 4: Simplify right side
    11,922.01x = 101,688,675.00
  5. Step 5: Solve for x
    x = 101,688,675.00/11,922.01
  6. Step 6: Final answer
    x = 8,529.49

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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.