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Finding the Fourth Proportional to 10,388.59, 15,589.71 and 3,814.84

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Solution

The fourth proportional to 10,388.59, 15,589.71 and 3,814.84 is: 5,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.59 : 15,589.71 = 3,814.84 : x
  2. Step 2: Convert to fraction form
    10,388.59/15,589.71 = 3,814.84/x
  3. Step 3: Cross multiply
    10,388.59x = 15,589.71 × 3,814.84
  4. Step 4: Simplify right side
    10,388.59x = 59,472,249.30
  5. Step 5: Solve for x
    x = 59,472,249.30/10,388.59
  6. Step 6: Final answer
    x = 5,724.77

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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.