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Finding the Fourth Proportional to 10,219.65, 14,103.27 and 5,971.83

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Solution

The fourth proportional to 10,219.65, 14,103.27 and 5,971.83 is: 8,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.65 : 14,103.27 = 5,971.83 : x
  2. Step 2: Convert to fraction form
    10,219.65/14,103.27 = 5,971.83/x
  3. Step 3: Cross multiply
    10,219.65x = 14,103.27 × 5,971.83
  4. Step 4: Simplify right side
    10,219.65x = 84,222,330.88
  5. Step 5: Solve for x
    x = 84,222,330.88/10,219.65
  6. Step 6: Final answer
    x = 8,241.21

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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.