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Finding the Fourth Proportional to 8,101.60, 12,145.20 and 3,170.12

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Solution

The fourth proportional to 8,101.60, 12,145.20 and 3,170.12 is: 4,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.60 : 12,145.20 = 3,170.12 : x
  2. Step 2: Convert to fraction form
    8,101.60/12,145.20 = 3,170.12/x
  3. Step 3: Cross multiply
    8,101.60x = 12,145.20 × 3,170.12
  4. Step 4: Simplify right side
    8,101.60x = 38,501,741.42
  5. Step 5: Solve for x
    x = 38,501,741.42/8,101.60
  6. Step 6: Final answer
    x = 4,752.36

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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.