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Finding the Fourth Proportional to 10,809.90, 16,214.64 and 4,240.68

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Solution

The fourth proportional to 10,809.90, 16,214.64 and 4,240.68 is: 6,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.90 : 16,214.64 = 4,240.68 : x
  2. Step 2: Convert to fraction form
    10,809.90/16,214.64 = 4,240.68/x
  3. Step 3: Cross multiply
    10,809.90x = 16,214.64 × 4,240.68
  4. Step 4: Simplify right side
    10,809.90x = 68,761,099.56
  5. Step 5: Solve for x
    x = 68,761,099.56/10,809.90
  6. Step 6: Final answer
    x = 6,360.94

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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.