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Finding the Fourth Proportional to 8,010.96, 11,057.84 and 4,826

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Solution

The fourth proportional to 8,010.96, 11,057.84 and 4,826 is: 6,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.96 : 11,057.84 = 4,826 : x
  2. Step 2: Convert to fraction form
    8,010.96/11,057.84 = 4,826/x
  3. Step 3: Cross multiply
    8,010.96x = 11,057.84 × 4,826
  4. Step 4: Simplify right side
    8,010.96x = 53,365,135.84
  5. Step 5: Solve for x
    x = 53,365,135.84/8,010.96
  6. Step 6: Final answer
    x = 6,661.52

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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.