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Finding the Fourth Proportional to 8,461.45, 12,694.34 and 2,538.32

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Solution

The fourth proportional to 8,461.45, 12,694.34 and 2,538.32 is: 3,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.45 : 12,694.34 = 2,538.32 : x
  2. Step 2: Convert to fraction form
    8,461.45/12,694.34 = 2,538.32/x
  3. Step 3: Cross multiply
    8,461.45x = 12,694.34 × 2,538.32
  4. Step 4: Simplify right side
    8,461.45x = 32,222,284.42
  5. Step 5: Solve for x
    x = 32,222,284.42/8,461.45
  6. Step 6: Final answer
    x = 3,808.13

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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.