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Finding the Fourth Proportional to 7,892.12, 10,812.13 and 7,596.68

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Solution

The fourth proportional to 7,892.12, 10,812.13 and 7,596.68 is: 10,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.12 : 10,812.13 = 7,596.68 : x
  2. Step 2: Convert to fraction form
    7,892.12/10,812.13 = 7,596.68/x
  3. Step 3: Cross multiply
    7,892.12x = 10,812.13 × 7,596.68
  4. Step 4: Simplify right side
    7,892.12x = 82,136,291.73
  5. Step 5: Solve for x
    x = 82,136,291.73/7,892.12
  6. Step 6: Final answer
    x = 10,407.38

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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.