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Finding the Fourth Proportional to 8,102.94, 12,155.40 and 3,171.93

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Solution

The fourth proportional to 8,102.94, 12,155.40 and 3,171.93 is: 4,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.94 : 12,155.40 = 3,171.93 : x
  2. Step 2: Convert to fraction form
    8,102.94/12,155.40 = 3,171.93/x
  3. Step 3: Cross multiply
    8,102.94x = 12,155.40 × 3,171.93
  4. Step 4: Simplify right side
    8,102.94x = 38,556,077.92
  5. Step 5: Solve for x
    x = 38,556,077.92/8,102.94
  6. Step 6: Final answer
    x = 4,758.28

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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.