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Finding the Fourth Proportional to 8,102.09, 12,155.11 and 3,419.58

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Solution

The fourth proportional to 8,102.09, 12,155.11 and 3,419.58 is: 5,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.09 : 12,155.11 = 3,419.58 : x
  2. Step 2: Convert to fraction form
    8,102.09/12,155.11 = 3,419.58/x
  3. Step 3: Cross multiply
    8,102.09x = 12,155.11 × 3,419.58
  4. Step 4: Simplify right side
    8,102.09x = 41,565,427.32
  5. Step 5: Solve for x
    x = 41,565,427.32/8,102.09
  6. Step 6: Final answer
    x = 5,130.21

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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.