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Finding the Fourth Proportional to 12,178.04, 16,805.94 and 7,146.12

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Solution

The fourth proportional to 12,178.04, 16,805.94 and 7,146.12 is: 9,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.04 : 16,805.94 = 7,146.12 : x
  2. Step 2: Convert to fraction form
    12,178.04/16,805.94 = 7,146.12/x
  3. Step 3: Cross multiply
    12,178.04x = 16,805.94 × 7,146.12
  4. Step 4: Simplify right side
    12,178.04x = 120,097,263.95
  5. Step 5: Solve for x
    x = 120,097,263.95/12,178.04
  6. Step 6: Final answer
    x = 9,861.79

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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.