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Finding the Fourth Proportional to 10,857.69, 16,278.69 and 7,338.98

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Solution

The fourth proportional to 10,857.69, 16,278.69 and 7,338.98 is: 11,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.69 : 16,278.69 = 7,338.98 : x
  2. Step 2: Convert to fraction form
    10,857.69/16,278.69 = 7,338.98/x
  3. Step 3: Cross multiply
    10,857.69x = 16,278.69 × 7,338.98
  4. Step 4: Simplify right side
    10,857.69x = 119,468,898.94
  5. Step 5: Solve for x
    x = 119,468,898.94/10,857.69
  6. Step 6: Final answer
    x = 11,003.16

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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.