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Finding the Fourth Proportional to 8,201.16, 12,308.28 and 4,253.54

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Solution

The fourth proportional to 8,201.16, 12,308.28 and 4,253.54 is: 6,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.16 : 12,308.28 = 4,253.54 : x
  2. Step 2: Convert to fraction form
    8,201.16/12,308.28 = 4,253.54/x
  3. Step 3: Cross multiply
    8,201.16x = 12,308.28 × 4,253.54
  4. Step 4: Simplify right side
    8,201.16x = 52,353,699.77
  5. Step 5: Solve for x
    x = 52,353,699.77/8,201.16
  6. Step 6: Final answer
    x = 6,383.69

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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.