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Finding the Fourth Proportional to 8,178.36, 12,260.04 and 2,980.56

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Solution

The fourth proportional to 8,178.36, 12,260.04 and 2,980.56 is: 4,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.36 : 12,260.04 = 2,980.56 : x
  2. Step 2: Convert to fraction form
    8,178.36/12,260.04 = 2,980.56/x
  3. Step 3: Cross multiply
    8,178.36x = 12,260.04 × 2,980.56
  4. Step 4: Simplify right side
    8,178.36x = 36,541,784.82
  5. Step 5: Solve for x
    x = 36,541,784.82/8,178.36
  6. Step 6: Final answer
    x = 4,468.11

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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.