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Finding the Fourth Proportional to 7,871.99, 11,809.62 and 4,173.21

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Solution

The fourth proportional to 7,871.99, 11,809.62 and 4,173.21 is: 6,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.99 : 11,809.62 = 4,173.21 : x
  2. Step 2: Convert to fraction form
    7,871.99/11,809.62 = 4,173.21/x
  3. Step 3: Cross multiply
    7,871.99x = 11,809.62 × 4,173.21
  4. Step 4: Simplify right side
    7,871.99x = 49,284,024.28
  5. Step 5: Solve for x
    x = 49,284,024.28/7,871.99
  6. Step 6: Final answer
    x = 6,260.69

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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.