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Finding the Fourth Proportional to 8,095.01, 12,142.51 and 3,166.09

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Solution

The fourth proportional to 8,095.01, 12,142.51 and 3,166.09 is: 4,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.01 : 12,142.51 = 3,166.09 : x
  2. Step 2: Convert to fraction form
    8,095.01/12,142.51 = 3,166.09/x
  3. Step 3: Cross multiply
    8,095.01x = 12,142.51 × 3,166.09
  4. Step 4: Simplify right side
    8,095.01x = 38,444,241.21
  5. Step 5: Solve for x
    x = 38,444,241.21/8,095.01
  6. Step 6: Final answer
    x = 4,749.13

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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.