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Finding the Fourth Proportional to 10,757.67, 16,137.50 and 4,184.35

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Solution

The fourth proportional to 10,757.67, 16,137.50 and 4,184.35 is: 6,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.67 : 16,137.50 = 4,184.35 : x
  2. Step 2: Convert to fraction form
    10,757.67/16,137.50 = 4,184.35/x
  3. Step 3: Cross multiply
    10,757.67x = 16,137.50 × 4,184.35
  4. Step 4: Simplify right side
    10,757.67x = 67,524,948.13
  5. Step 5: Solve for x
    x = 67,524,948.13/10,757.67
  6. Step 6: Final answer
    x = 6,276.91

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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.