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Finding the Fourth Proportional to 8,107.75, 12,145.89 and 5,325.98

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Solution

The fourth proportional to 8,107.75, 12,145.89 and 5,325.98 is: 7,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.75 : 12,145.89 = 5,325.98 : x
  2. Step 2: Convert to fraction form
    8,107.75/12,145.89 = 5,325.98/x
  3. Step 3: Cross multiply
    8,107.75x = 12,145.89 × 5,325.98
  4. Step 4: Simplify right side
    8,107.75x = 64,688,767.22
  5. Step 5: Solve for x
    x = 64,688,767.22/8,107.75
  6. Step 6: Final answer
    x = 7,978.63

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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.