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Finding the Fourth Proportional to 11,860.12, 17,767.14 and 6,669.40

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Solution

The fourth proportional to 11,860.12, 17,767.14 and 6,669.40 is: 9,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.12 : 17,767.14 = 6,669.40 : x
  2. Step 2: Convert to fraction form
    11,860.12/17,767.14 = 6,669.40/x
  3. Step 3: Cross multiply
    11,860.12x = 17,767.14 × 6,669.40
  4. Step 4: Simplify right side
    11,860.12x = 118,496,163.52
  5. Step 5: Solve for x
    x = 118,496,163.52/11,860.12
  6. Step 6: Final answer
    x = 9,991.14

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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.