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Finding the Fourth Proportional to 8,178.40, 12,260.31 and 6,803.02

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Solution

The fourth proportional to 8,178.40, 12,260.31 and 6,803.02 is: 10,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.40 : 12,260.31 = 6,803.02 : x
  2. Step 2: Convert to fraction form
    8,178.40/12,260.31 = 6,803.02/x
  3. Step 3: Cross multiply
    8,178.40x = 12,260.31 × 6,803.02
  4. Step 4: Simplify right side
    8,178.40x = 83,407,134.14
  5. Step 5: Solve for x
    x = 83,407,134.14/8,178.40
  6. Step 6: Final answer
    x = 10,198.47

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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.