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Finding the Fourth Proportional to 11,635.11, 16,051.25 and 7,857.06

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Solution

The fourth proportional to 11,635.11, 16,051.25 and 7,857.06 is: 10,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.11 : 16,051.25 = 7,857.06 : x
  2. Step 2: Convert to fraction form
    11,635.11/16,051.25 = 7,857.06/x
  3. Step 3: Cross multiply
    11,635.11x = 16,051.25 × 7,857.06
  4. Step 4: Simplify right side
    11,635.11x = 126,115,595.04
  5. Step 5: Solve for x
    x = 126,115,595.04/11,635.11
  6. Step 6: Final answer
    x = 10,839.23

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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.