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Finding the Fourth Proportional to 8,097.44, 12,152.76 and 4,202.96

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Solution

The fourth proportional to 8,097.44, 12,152.76 and 4,202.96 is: 6,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.44 : 12,152.76 = 4,202.96 : x
  2. Step 2: Convert to fraction form
    8,097.44/12,152.76 = 4,202.96/x
  3. Step 3: Cross multiply
    8,097.44x = 12,152.76 × 4,202.96
  4. Step 4: Simplify right side
    8,097.44x = 51,077,564.17
  5. Step 5: Solve for x
    x = 51,077,564.17/8,097.44
  6. Step 6: Final answer
    x = 6,307.87

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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.