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Finding the Fourth Proportional to 8,141.61, 12,214.23 and 2,595.27

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Solution

The fourth proportional to 8,141.61, 12,214.23 and 2,595.27 is: 3,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.61 : 12,214.23 = 2,595.27 : x
  2. Step 2: Convert to fraction form
    8,141.61/12,214.23 = 2,595.27/x
  3. Step 3: Cross multiply
    8,141.61x = 12,214.23 × 2,595.27
  4. Step 4: Simplify right side
    8,141.61x = 31,699,224.69
  5. Step 5: Solve for x
    x = 31,699,224.69/8,141.61
  6. Step 6: Final answer
    x = 3,893.48

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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.