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Finding the Fourth Proportional to 8,141.60, 12,212.19 and 3,460.34

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Solution

The fourth proportional to 8,141.60, 12,212.19 and 3,460.34 is: 5,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.60 : 12,212.19 = 3,460.34 : x
  2. Step 2: Convert to fraction form
    8,141.60/12,212.19 = 3,460.34/x
  3. Step 3: Cross multiply
    8,141.60x = 12,212.19 × 3,460.34
  4. Step 4: Simplify right side
    8,141.60x = 42,258,268.48
  5. Step 5: Solve for x
    x = 42,258,268.48/8,141.60
  6. Step 6: Final answer
    x = 5,190.42

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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.