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Finding the Fourth Proportional to 12,311.08, 16,991.24 and 7,830.16

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Solution

The fourth proportional to 12,311.08, 16,991.24 and 7,830.16 is: 10,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.08 : 16,991.24 = 7,830.16 : x
  2. Step 2: Convert to fraction form
    12,311.08/16,991.24 = 7,830.16/x
  3. Step 3: Cross multiply
    12,311.08x = 16,991.24 × 7,830.16
  4. Step 4: Simplify right side
    12,311.08x = 133,044,127.80
  5. Step 5: Solve for x
    x = 133,044,127.80/12,311.08
  6. Step 6: Final answer
    x = 10,806.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.