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Finding the Fourth Proportional to 10,729.53, 16,098.84 and 5,793.42

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Solution

The fourth proportional to 10,729.53, 16,098.84 and 5,793.42 is: 8,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.53 : 16,098.84 = 5,793.42 : x
  2. Step 2: Convert to fraction form
    10,729.53/16,098.84 = 5,793.42/x
  3. Step 3: Cross multiply
    10,729.53x = 16,098.84 × 5,793.42
  4. Step 4: Simplify right side
    10,729.53x = 93,267,341.63
  5. Step 5: Solve for x
    x = 93,267,341.63/10,729.53
  6. Step 6: Final answer
    x = 8,692.58

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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.