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Finding the Fourth Proportional to 11,027.69, 15,220.62 and 6,782.40

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Solution

The fourth proportional to 11,027.69, 15,220.62 and 6,782.40 is: 9,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.69 : 15,220.62 = 6,782.40 : x
  2. Step 2: Convert to fraction form
    11,027.69/15,220.62 = 6,782.40/x
  3. Step 3: Cross multiply
    11,027.69x = 15,220.62 × 6,782.40
  4. Step 4: Simplify right side
    11,027.69x = 103,232,333.09
  5. Step 5: Solve for x
    x = 103,232,333.09/11,027.69
  6. Step 6: Final answer
    x = 9,361.19

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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.