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Finding the Fourth Proportional to 8,140.36, 12,218.10 and 3,213.40

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Solution

The fourth proportional to 8,140.36, 12,218.10 and 3,213.40 is: 4,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.36 : 12,218.10 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    8,140.36/12,218.10 = 3,213.40/x
  3. Step 3: Cross multiply
    8,140.36x = 12,218.10 × 3,213.40
  4. Step 4: Simplify right side
    8,140.36x = 39,261,642.54
  5. Step 5: Solve for x
    x = 39,261,642.54/8,140.36
  6. Step 6: Final answer
    x = 4,823.08

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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.