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Finding the Fourth Proportional to 8,102.40, 12,160.88 and 4,209.52

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Solution

The fourth proportional to 8,102.40, 12,160.88 and 4,209.52 is: 6,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.40 : 12,160.88 = 4,209.52 : x
  2. Step 2: Convert to fraction form
    8,102.40/12,160.88 = 4,209.52/x
  3. Step 3: Cross multiply
    8,102.40x = 12,160.88 × 4,209.52
  4. Step 4: Simplify right side
    8,102.40x = 51,191,467.58
  5. Step 5: Solve for x
    x = 51,191,467.58/8,102.40
  6. Step 6: Final answer
    x = 6,318.06

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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.