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Finding the Fourth Proportional to 11,131.92, 16,700 and 4,211.28

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Solution

The fourth proportional to 11,131.92, 16,700 and 4,211.28 is: 6,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.92 : 16,700 = 4,211.28 : x
  2. Step 2: Convert to fraction form
    11,131.92/16,700 = 4,211.28/x
  3. Step 3: Cross multiply
    11,131.92x = 16,700 × 4,211.28
  4. Step 4: Simplify right side
    11,131.92x = 70,328,376
  5. Step 5: Solve for x
    x = 70,328,376/11,131.92
  6. Step 6: Final answer
    x = 6,317.72

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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.