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Finding the Fourth Proportional to 7,919.50, 11,882.71 and 3,762.45

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Solution

The fourth proportional to 7,919.50, 11,882.71 and 3,762.45 is: 5,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.50 : 11,882.71 = 3,762.45 : x
  2. Step 2: Convert to fraction form
    7,919.50/11,882.71 = 3,762.45/x
  3. Step 3: Cross multiply
    7,919.50x = 11,882.71 × 3,762.45
  4. Step 4: Simplify right side
    7,919.50x = 44,708,102.24
  5. Step 5: Solve for x
    x = 44,708,102.24/7,919.50
  6. Step 6: Final answer
    x = 5,645.32

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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.