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Finding the Fourth Proportional to 7,850.71, 11,782.14 and 4,153.87

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Solution

The fourth proportional to 7,850.71, 11,782.14 and 4,153.87 is: 6,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.71 : 11,782.14 = 4,153.87 : x
  2. Step 2: Convert to fraction form
    7,850.71/11,782.14 = 4,153.87/x
  3. Step 3: Cross multiply
    7,850.71x = 11,782.14 × 4,153.87
  4. Step 4: Simplify right side
    7,850.71x = 48,941,477.88
  5. Step 5: Solve for x
    x = 48,941,477.88/7,850.71
  6. Step 6: Final answer
    x = 6,234.02

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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.