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Finding the Fourth Proportional to 8,218.56, 12,319.62 and 2,952.14

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Solution

The fourth proportional to 8,218.56, 12,319.62 and 2,952.14 is: 4,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.56 : 12,319.62 = 2,952.14 : x
  2. Step 2: Convert to fraction form
    8,218.56/12,319.62 = 2,952.14/x
  3. Step 3: Cross multiply
    8,218.56x = 12,319.62 × 2,952.14
  4. Step 4: Simplify right side
    8,218.56x = 36,369,242.99
  5. Step 5: Solve for x
    x = 36,369,242.99/8,218.56
  6. Step 6: Final answer
    x = 4,425.26

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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.