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Finding the Fourth Proportional to 8,297.49, 11,444.24 and 5,779.61

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Solution

The fourth proportional to 8,297.49, 11,444.24 and 5,779.61 is: 7,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.49 : 11,444.24 = 5,779.61 : x
  2. Step 2: Convert to fraction form
    8,297.49/11,444.24 = 5,779.61/x
  3. Step 3: Cross multiply
    8,297.49x = 11,444.24 × 5,779.61
  4. Step 4: Simplify right side
    8,297.49x = 66,143,201.17
  5. Step 5: Solve for x
    x = 66,143,201.17/8,297.49
  6. Step 6: Final answer
    x = 7,971.47

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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.