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Finding the Fourth Proportional to 11,313.90, 16,938 and 6,917.94

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Solution

The fourth proportional to 11,313.90, 16,938 and 6,917.94 is: 10,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.90 : 16,938 = 6,917.94 : x
  2. Step 2: Convert to fraction form
    11,313.90/16,938 = 6,917.94/x
  3. Step 3: Cross multiply
    11,313.90x = 16,938 × 6,917.94
  4. Step 4: Simplify right side
    11,313.90x = 117,176,067.72
  5. Step 5: Solve for x
    x = 117,176,067.72/11,313.90
  6. Step 6: Final answer
    x = 10,356.82

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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.