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Finding the Fourth Proportional to 8,106.32, 12,162.98 and 2,845.07

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Solution

The fourth proportional to 8,106.32, 12,162.98 and 2,845.07 is: 4,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.32 : 12,162.98 = 2,845.07 : x
  2. Step 2: Convert to fraction form
    8,106.32/12,162.98 = 2,845.07/x
  3. Step 3: Cross multiply
    8,106.32x = 12,162.98 × 2,845.07
  4. Step 4: Simplify right side
    8,106.32x = 34,604,454.47
  5. Step 5: Solve for x
    x = 34,604,454.47/8,106.32
  6. Step 6: Final answer
    x = 4,268.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.