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Finding the Fourth Proportional to 8,053.22, 11,107.82 and 7,782.28

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Solution

The fourth proportional to 8,053.22, 11,107.82 and 7,782.28 is: 10,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.22 : 11,107.82 = 7,782.28 : x
  2. Step 2: Convert to fraction form
    8,053.22/11,107.82 = 7,782.28/x
  3. Step 3: Cross multiply
    8,053.22x = 11,107.82 × 7,782.28
  4. Step 4: Simplify right side
    8,053.22x = 86,444,157.12
  5. Step 5: Solve for x
    x = 86,444,157.12/8,053.22
  6. Step 6: Final answer
    x = 10,734.11

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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.