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Finding the Fourth Proportional to 11,933.79, 16,470.78 and 6,897.32

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Solution

The fourth proportional to 11,933.79, 16,470.78 and 6,897.32 is: 9,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.79 : 16,470.78 = 6,897.32 : x
  2. Step 2: Convert to fraction form
    11,933.79/16,470.78 = 6,897.32/x
  3. Step 3: Cross multiply
    11,933.79x = 16,470.78 × 6,897.32
  4. Step 4: Simplify right side
    11,933.79x = 113,604,240.31
  5. Step 5: Solve for x
    x = 113,604,240.31/11,933.79
  6. Step 6: Final answer
    x = 9,519.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.