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Finding the Fourth Proportional to 11,241.81, 15,513.50 and 6,206.20

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Solution

The fourth proportional to 11,241.81, 15,513.50 and 6,206.20 is: 8,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.81 : 15,513.50 = 6,206.20 : x
  2. Step 2: Convert to fraction form
    11,241.81/15,513.50 = 6,206.20/x
  3. Step 3: Cross multiply
    11,241.81x = 15,513.50 × 6,206.20
  4. Step 4: Simplify right side
    11,241.81x = 96,279,883.70
  5. Step 5: Solve for x
    x = 96,279,883.70/11,241.81
  6. Step 6: Final answer
    x = 8,564.45

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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.