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Finding the Fourth Proportional to 11,895.04, 16,414.72 and 7,178.88

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Solution

The fourth proportional to 11,895.04, 16,414.72 and 7,178.88 is: 9,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.04 : 16,414.72 = 7,178.88 : x
  2. Step 2: Convert to fraction form
    11,895.04/16,414.72 = 7,178.88/x
  3. Step 3: Cross multiply
    11,895.04x = 16,414.72 × 7,178.88
  4. Step 4: Simplify right side
    11,895.04x = 117,839,305.11
  5. Step 5: Solve for x
    x = 117,839,305.11/11,895.04
  6. Step 6: Final answer
    x = 9,906.59

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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.