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Finding the Fourth Proportional to 10,220.81, 14,106.02 and 6,241.07

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Solution

The fourth proportional to 10,220.81, 14,106.02 and 6,241.07 is: 8,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.81 : 14,106.02 = 6,241.07 : x
  2. Step 2: Convert to fraction form
    10,220.81/14,106.02 = 6,241.07/x
  3. Step 3: Cross multiply
    10,220.81x = 14,106.02 × 6,241.07
  4. Step 4: Simplify right side
    10,220.81x = 88,036,662.30
  5. Step 5: Solve for x
    x = 88,036,662.30/10,220.81
  6. Step 6: Final answer
    x = 8,613.48

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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.