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Finding the Fourth Proportional to 8,103.60, 12,138.48 and 4,196.16

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Solution

The fourth proportional to 8,103.60, 12,138.48 and 4,196.16 is: 6,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.60 : 12,138.48 = 4,196.16 : x
  2. Step 2: Convert to fraction form
    8,103.60/12,138.48 = 4,196.16/x
  3. Step 3: Cross multiply
    8,103.60x = 12,138.48 × 4,196.16
  4. Step 4: Simplify right side
    8,103.60x = 50,935,004.24
  5. Step 5: Solve for x
    x = 50,935,004.24/8,103.60
  6. Step 6: Final answer
    x = 6,285.48

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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.