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Finding the Fourth Proportional to 8,097.36, 12,147.43 and 3,715.20

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Solution

The fourth proportional to 8,097.36, 12,147.43 and 3,715.20 is: 5,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.36 : 12,147.43 = 3,715.20 : x
  2. Step 2: Convert to fraction form
    8,097.36/12,147.43 = 3,715.20/x
  3. Step 3: Cross multiply
    8,097.36x = 12,147.43 × 3,715.20
  4. Step 4: Simplify right side
    8,097.36x = 45,130,052.62
  5. Step 5: Solve for x
    x = 45,130,052.62/8,097.36
  6. Step 6: Final answer
    x = 5,573.43

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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.