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Finding the Fourth Proportional to 8,141.46, 12,214.03 and 2,595.12

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Solution

The fourth proportional to 8,141.46, 12,214.03 and 2,595.12 is: 3,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.46 : 12,214.03 = 2,595.12 : x
  2. Step 2: Convert to fraction form
    8,141.46/12,214.03 = 2,595.12/x
  3. Step 3: Cross multiply
    8,141.46x = 12,214.03 × 2,595.12
  4. Step 4: Simplify right side
    8,141.46x = 31,696,873.53
  5. Step 5: Solve for x
    x = 31,696,873.53/8,141.46
  6. Step 6: Final answer
    x = 3,893.27

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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.