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Finding the Fourth Proportional to 26,926.34, 40,388.94 and 7,204.90

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Solution

The fourth proportional to 26,926.34, 40,388.94 and 7,204.90 is: 10,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926.34 : 40,388.94 = 7,204.90 : x
  2. Step 2: Convert to fraction form
    26,926.34/40,388.94 = 7,204.90/x
  3. Step 3: Cross multiply
    26,926.34x = 40,388.94 × 7,204.90
  4. Step 4: Simplify right side
    26,926.34x = 290,998,273.81
  5. Step 5: Solve for x
    x = 290,998,273.81/26,926.34
  6. Step 6: Final answer
    x = 10,807.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.