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Finding the Fourth Proportional to 8,362.10, 11,539.76 and 5,709.44

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Solution

The fourth proportional to 8,362.10, 11,539.76 and 5,709.44 is: 7,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.10 : 11,539.76 = 5,709.44 : x
  2. Step 2: Convert to fraction form
    8,362.10/11,539.76 = 5,709.44/x
  3. Step 3: Cross multiply
    8,362.10x = 11,539.76 × 5,709.44
  4. Step 4: Simplify right side
    8,362.10x = 65,885,567.33
  5. Step 5: Solve for x
    x = 65,885,567.33/8,362.10
  6. Step 6: Final answer
    x = 7,879.07

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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.