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Finding the Fourth Proportional to 8,424.12, 11,611.35 and 7,718.22

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Solution

The fourth proportional to 8,424.12, 11,611.35 and 7,718.22 is: 10,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.12 : 11,611.35 = 7,718.22 : x
  2. Step 2: Convert to fraction form
    8,424.12/11,611.35 = 7,718.22/x
  3. Step 3: Cross multiply
    8,424.12x = 11,611.35 × 7,718.22
  4. Step 4: Simplify right side
    8,424.12x = 89,618,953.80
  5. Step 5: Solve for x
    x = 89,618,953.80/8,424.12
  6. Step 6: Final answer
    x = 10,638.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.