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Finding the Fourth Proportional to 7,977.51, 11,950.69 and 5,865.23

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Solution

The fourth proportional to 7,977.51, 11,950.69 and 5,865.23 is: 8,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.51 : 11,950.69 = 5,865.23 : x
  2. Step 2: Convert to fraction form
    7,977.51/11,950.69 = 5,865.23/x
  3. Step 3: Cross multiply
    7,977.51x = 11,950.69 × 5,865.23
  4. Step 4: Simplify right side
    7,977.51x = 70,093,545.51
  5. Step 5: Solve for x
    x = 70,093,545.51/7,977.51
  6. Step 6: Final answer
    x = 8,786.39

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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.