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Finding the Fourth Proportional to 8,216.08, 12,322.92 and 2,372

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Solution

The fourth proportional to 8,216.08, 12,322.92 and 2,372 is: 3,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.08 : 12,322.92 = 2,372 : x
  2. Step 2: Convert to fraction form
    8,216.08/12,322.92 = 2,372/x
  3. Step 3: Cross multiply
    8,216.08x = 12,322.92 × 2,372
  4. Step 4: Simplify right side
    8,216.08x = 29,229,966.24
  5. Step 5: Solve for x
    x = 29,229,966.24/8,216.08
  6. Step 6: Final answer
    x = 3,557.65

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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.