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Finding the Fourth Proportional to 10,646.01, 15,977.21 and 8,571.09

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Solution

The fourth proportional to 10,646.01, 15,977.21 and 8,571.09 is: 12,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.01 : 15,977.21 = 8,571.09 : x
  2. Step 2: Convert to fraction form
    10,646.01/15,977.21 = 8,571.09/x
  3. Step 3: Cross multiply
    10,646.01x = 15,977.21 × 8,571.09
  4. Step 4: Simplify right side
    10,646.01x = 136,942,104.86
  5. Step 5: Solve for x
    x = 136,942,104.86/10,646.01
  6. Step 6: Final answer
    x = 12,863.23

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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.