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Finding the Fourth Proportional to 8,151.64, 12,225.63 and 3,768.46

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Solution

The fourth proportional to 8,151.64, 12,225.63 and 3,768.46 is: 5,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.64 : 12,225.63 = 3,768.46 : x
  2. Step 2: Convert to fraction form
    8,151.64/12,225.63 = 3,768.46/x
  3. Step 3: Cross multiply
    8,151.64x = 12,225.63 × 3,768.46
  4. Step 4: Simplify right side
    8,151.64x = 46,071,797.63
  5. Step 5: Solve for x
    x = 46,071,797.63/8,151.64
  6. Step 6: Final answer
    x = 5,651.84

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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.