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Finding the Fourth Proportional to 10,221.56, 14,107.05 and 6,241.83

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Solution

The fourth proportional to 10,221.56, 14,107.05 and 6,241.83 is: 8,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.56 : 14,107.05 = 6,241.83 : x
  2. Step 2: Convert to fraction form
    10,221.56/14,107.05 = 6,241.83/x
  3. Step 3: Cross multiply
    10,221.56x = 14,107.05 × 6,241.83
  4. Step 4: Simplify right side
    10,221.56x = 88,053,807.90
  5. Step 5: Solve for x
    x = 88,053,807.90/10,221.56
  6. Step 6: Final answer
    x = 8,614.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.