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Finding the Fourth Proportional to 10,767, 16,156.98 and 4,611

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Solution

The fourth proportional to 10,767, 16,156.98 and 4,611 is: 6,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767 : 16,156.98 = 4,611 : x
  2. Step 2: Convert to fraction form
    10,767/16,156.98 = 4,611/x
  3. Step 3: Cross multiply
    10,767x = 16,156.98 × 4,611
  4. Step 4: Simplify right side
    10,767x = 74,499,834.78
  5. Step 5: Solve for x
    x = 74,499,834.78/10,767
  6. Step 6: Final answer
    x = 6,919.28

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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.