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Finding the Fourth Proportional to 5,191.11, 7,786.68 and 1,295.51

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Solution

The fourth proportional to 5,191.11, 7,786.68 and 1,295.51 is: 1,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.11 : 7,786.68 = 1,295.51 : x
  2. Step 2: Convert to fraction form
    5,191.11/7,786.68 = 1,295.51/x
  3. Step 3: Cross multiply
    5,191.11x = 7,786.68 × 1,295.51
  4. Step 4: Simplify right side
    5,191.11x = 10,087,741.27
  5. Step 5: Solve for x
    x = 10,087,741.27/5,191.11
  6. Step 6: Final answer
    x = 1,943.27

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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.