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Finding the Fourth Proportional to 8,125.77, 12,193.51 and 7,464.81

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Solution

The fourth proportional to 8,125.77, 12,193.51 and 7,464.81 is: 11,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.77 : 12,193.51 = 7,464.81 : x
  2. Step 2: Convert to fraction form
    8,125.77/12,193.51 = 7,464.81/x
  3. Step 3: Cross multiply
    8,125.77x = 12,193.51 × 7,464.81
  4. Step 4: Simplify right side
    8,125.77x = 91,022,235.38
  5. Step 5: Solve for x
    x = 91,022,235.38/8,125.77
  6. Step 6: Final answer
    x = 11,201.68

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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.