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Finding the Fourth Proportional to 25,327, 37,991.58 and 6,859

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Solution

The fourth proportional to 25,327, 37,991.58 and 6,859 is: 10,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327 : 37,991.58 = 6,859 : x
  2. Step 2: Convert to fraction form
    25,327/37,991.58 = 6,859/x
  3. Step 3: Cross multiply
    25,327x = 37,991.58 × 6,859
  4. Step 4: Simplify right side
    25,327x = 260,584,247.22
  5. Step 5: Solve for x
    x = 260,584,247.22/25,327
  6. Step 6: Final answer
    x = 10,288.79

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