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Finding the Fourth Proportional to 10,857.18, 16,277.94 and 7,338.48

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Solution

The fourth proportional to 10,857.18, 16,277.94 and 7,338.48 is: 11,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.18 : 16,277.94 = 7,338.48 : x
  2. Step 2: Convert to fraction form
    10,857.18/16,277.94 = 7,338.48/x
  3. Step 3: Cross multiply
    10,857.18x = 16,277.94 × 7,338.48
  4. Step 4: Simplify right side
    10,857.18x = 119,455,276.09
  5. Step 5: Solve for x
    x = 119,455,276.09/10,857.18
  6. Step 6: Final answer
    x = 11,002.42

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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.