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Finding the Fourth Proportional to 8,116.40, 12,178.65 and 3,736.94

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Solution

The fourth proportional to 8,116.40, 12,178.65 and 3,736.94 is: 5,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.40 : 12,178.65 = 3,736.94 : x
  2. Step 2: Convert to fraction form
    8,116.40/12,178.65 = 3,736.94/x
  3. Step 3: Cross multiply
    8,116.40x = 12,178.65 × 3,736.94
  4. Step 4: Simplify right side
    8,116.40x = 45,510,837.45
  5. Step 5: Solve for x
    x = 45,510,837.45/8,116.40
  6. Step 6: Final answer
    x = 5,607.27

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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.