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Finding the Fourth Proportional to 6,858.61, 10,288.39 and 2,909.42

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Solution

The fourth proportional to 6,858.61, 10,288.39 and 2,909.42 is: 4,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.61 : 10,288.39 = 2,909.42 : x
  2. Step 2: Convert to fraction form
    6,858.61/10,288.39 = 2,909.42/x
  3. Step 3: Cross multiply
    6,858.61x = 10,288.39 × 2,909.42
  4. Step 4: Simplify right side
    6,858.61x = 29,933,217.03
  5. Step 5: Solve for x
    x = 29,933,217.03/6,858.61
  6. Step 6: Final answer
    x = 4,364.33

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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.