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Finding the Fourth Proportional to 10,784.34, 16,179.20 and 8,571.53

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Solution

The fourth proportional to 10,784.34, 16,179.20 and 8,571.53 is: 12,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.34 : 16,179.20 = 8,571.53 : x
  2. Step 2: Convert to fraction form
    10,784.34/16,179.20 = 8,571.53/x
  3. Step 3: Cross multiply
    10,784.34x = 16,179.20 × 8,571.53
  4. Step 4: Simplify right side
    10,784.34x = 138,680,417.28
  5. Step 5: Solve for x
    x = 138,680,417.28/10,784.34
  6. Step 6: Final answer
    x = 12,859.42

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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.