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Finding the Fourth Proportional to 8,057.16, 11,110.50 and 5,698.44

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Solution

The fourth proportional to 8,057.16, 11,110.50 and 5,698.44 is: 7,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.16 : 11,110.50 = 5,698.44 : x
  2. Step 2: Convert to fraction form
    8,057.16/11,110.50 = 5,698.44/x
  3. Step 3: Cross multiply
    8,057.16x = 11,110.50 × 5,698.44
  4. Step 4: Simplify right side
    8,057.16x = 63,312,517.62
  5. Step 5: Solve for x
    x = 63,312,517.62/8,057.16
  6. Step 6: Final answer
    x = 7,857.92

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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.