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Finding the Fourth Proportional to 8,206.95, 12,316.92 and 3,014.31

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Solution

The fourth proportional to 8,206.95, 12,316.92 and 3,014.31 is: 4,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.95 : 12,316.92 = 3,014.31 : x
  2. Step 2: Convert to fraction form
    8,206.95/12,316.92 = 3,014.31/x
  3. Step 3: Cross multiply
    8,206.95x = 12,316.92 × 3,014.31
  4. Step 4: Simplify right side
    8,206.95x = 37,127,015.13
  5. Step 5: Solve for x
    x = 37,127,015.13/8,206.95
  6. Step 6: Final answer
    x = 4,523.85

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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.