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Finding the Fourth Proportional to 8,074.51, 11,073.29 and 7,737.74

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Solution

The fourth proportional to 8,074.51, 11,073.29 and 7,737.74 is: 10,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.51 : 11,073.29 = 7,737.74 : x
  2. Step 2: Convert to fraction form
    8,074.51/11,073.29 = 7,737.74/x
  3. Step 3: Cross multiply
    8,074.51x = 11,073.29 × 7,737.74
  4. Step 4: Simplify right side
    8,074.51x = 85,682,238.96
  5. Step 5: Solve for x
    x = 85,682,238.96/8,074.51
  6. Step 6: Final answer
    x = 10,611.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.