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Finding the Fourth Proportional to 11,934.56, 16,467.86 and 6,897.81

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Solution

The fourth proportional to 11,934.56, 16,467.86 and 6,897.81 is: 9,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.56 : 16,467.86 = 6,897.81 : x
  2. Step 2: Convert to fraction form
    11,934.56/16,467.86 = 6,897.81/x
  3. Step 3: Cross multiply
    11,934.56x = 16,467.86 × 6,897.81
  4. Step 4: Simplify right side
    11,934.56x = 113,592,116.95
  5. Step 5: Solve for x
    x = 113,592,116.95/11,934.56
  6. Step 6: Final answer
    x = 9,517.92

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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.