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Finding the Fourth Proportional to 7,423.32, 10,231.74 and 5,926.44

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Solution

The fourth proportional to 7,423.32, 10,231.74 and 5,926.44 is: 8,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.32 : 10,231.74 = 5,926.44 : x
  2. Step 2: Convert to fraction form
    7,423.32/10,231.74 = 5,926.44/x
  3. Step 3: Cross multiply
    7,423.32x = 10,231.74 × 5,926.44
  4. Step 4: Simplify right side
    7,423.32x = 60,637,793.21
  5. Step 5: Solve for x
    x = 60,637,793.21/7,423.32
  6. Step 6: Final answer
    x = 8,168.55

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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.