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Finding the Fourth Proportional to 8,097.37, 12,147.77 and 2,552.31

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Solution

The fourth proportional to 8,097.37, 12,147.77 and 2,552.31 is: 3,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.37 : 12,147.77 = 2,552.31 : x
  2. Step 2: Convert to fraction form
    8,097.37/12,147.77 = 2,552.31/x
  3. Step 3: Cross multiply
    8,097.37x = 12,147.77 × 2,552.31
  4. Step 4: Simplify right side
    8,097.37x = 31,004,881.23
  5. Step 5: Solve for x
    x = 31,004,881.23/8,097.37
  6. Step 6: Final answer
    x = 3,829.01

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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.