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Finding the Fourth Proportional to 8,119.68, 11,212.90 and 7,677.41

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Solution

The fourth proportional to 8,119.68, 11,212.90 and 7,677.41 is: 10,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.68 : 11,212.90 = 7,677.41 : x
  2. Step 2: Convert to fraction form
    8,119.68/11,212.90 = 7,677.41/x
  3. Step 3: Cross multiply
    8,119.68x = 11,212.90 × 7,677.41
  4. Step 4: Simplify right side
    8,119.68x = 86,085,997.38
  5. Step 5: Solve for x
    x = 86,085,997.38/8,119.68
  6. Step 6: Final answer
    x = 10,602.14

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1.5x scale

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.