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Finding the Fourth Proportional to 8,120.64, 11,205.48 and 5,761.92

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Solution

The fourth proportional to 8,120.64, 11,205.48 and 5,761.92 is: 7,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.64 : 11,205.48 = 5,761.92 : x
  2. Step 2: Convert to fraction form
    8,120.64/11,205.48 = 5,761.92/x
  3. Step 3: Cross multiply
    8,120.64x = 11,205.48 × 5,761.92
  4. Step 4: Simplify right side
    8,120.64x = 64,565,079.32
  5. Step 5: Solve for x
    x = 64,565,079.32/8,120.64
  6. Step 6: Final answer
    x = 7,950.74

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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.