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Finding the Fourth Proportional to 10,220.66, 14,104.06 and 5,972.12

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Solution

The fourth proportional to 10,220.66, 14,104.06 and 5,972.12 is: 8,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.66 : 14,104.06 = 5,972.12 : x
  2. Step 2: Convert to fraction form
    10,220.66/14,104.06 = 5,972.12/x
  3. Step 3: Cross multiply
    10,220.66x = 14,104.06 × 5,972.12
  4. Step 4: Simplify right side
    10,220.66x = 84,231,139.84
  5. Step 5: Solve for x
    x = 84,231,139.84/10,220.66
  6. Step 6: Final answer
    x = 8,241.26

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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.