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Finding the Fourth Proportional to 7,885.41, 11,812.28 and 3,924.72

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Solution

The fourth proportional to 7,885.41, 11,812.28 and 3,924.72 is: 5,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.41 : 11,812.28 = 3,924.72 : x
  2. Step 2: Convert to fraction form
    7,885.41/11,812.28 = 3,924.72/x
  3. Step 3: Cross multiply
    7,885.41x = 11,812.28 × 3,924.72
  4. Step 4: Simplify right side
    7,885.41x = 46,359,871.94
  5. Step 5: Solve for x
    x = 46,359,871.94/7,885.41
  6. Step 6: Final answer
    x = 5,879.20

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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.