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Finding the Fourth Proportional to 11,219.80, 16,830.16 and 4,199.12

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Solution

The fourth proportional to 11,219.80, 16,830.16 and 4,199.12 is: 6,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.80 : 16,830.16 = 4,199.12 : x
  2. Step 2: Convert to fraction form
    11,219.80/16,830.16 = 4,199.12/x
  3. Step 3: Cross multiply
    11,219.80x = 16,830.16 × 4,199.12
  4. Step 4: Simplify right side
    11,219.80x = 70,671,861.46
  5. Step 5: Solve for x
    x = 70,671,861.46/11,219.80
  6. Step 6: Final answer
    x = 6,298.85

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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.