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Finding the Fourth Proportional to 10,773.17, 16,159.70 and 4,199.38

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Solution

The fourth proportional to 10,773.17, 16,159.70 and 4,199.38 is: 6,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.17 : 16,159.70 = 4,199.38 : x
  2. Step 2: Convert to fraction form
    10,773.17/16,159.70 = 4,199.38/x
  3. Step 3: Cross multiply
    10,773.17x = 16,159.70 × 4,199.38
  4. Step 4: Simplify right side
    10,773.17x = 67,860,691.09
  5. Step 5: Solve for x
    x = 67,860,691.09/10,773.17
  6. Step 6: Final answer
    x = 6,299.05

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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.