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Finding the Fourth Proportional to 11,786.77, 16,266.18 and 7,070.14

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Solution

The fourth proportional to 11,786.77, 16,266.18 and 7,070.14 is: 9,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.77 : 16,266.18 = 7,070.14 : x
  2. Step 2: Convert to fraction form
    11,786.77/16,266.18 = 7,070.14/x
  3. Step 3: Cross multiply
    11,786.77x = 16,266.18 × 7,070.14
  4. Step 4: Simplify right side
    11,786.77x = 115,004,169.87
  5. Step 5: Solve for x
    x = 115,004,169.87/11,786.77
  6. Step 6: Final answer
    x = 9,757.06

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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.