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Finding the Fourth Proportional to 8,151.66, 12,235.19 and 5,231.61

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Solution

The fourth proportional to 8,151.66, 12,235.19 and 5,231.61 is: 7,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.66 : 12,235.19 = 5,231.61 : x
  2. Step 2: Convert to fraction form
    8,151.66/12,235.19 = 5,231.61/x
  3. Step 3: Cross multiply
    8,151.66x = 12,235.19 × 5,231.61
  4. Step 4: Simplify right side
    8,151.66x = 64,009,716.20
  5. Step 5: Solve for x
    x = 64,009,716.20/8,151.66
  6. Step 6: Final answer
    x = 7,852.35

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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.