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Finding the Fourth Proportional to 11,677.56, 16,109.48 and 6,894.30

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Solution

The fourth proportional to 11,677.56, 16,109.48 and 6,894.30 is: 9,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.56 : 16,109.48 = 6,894.30 : x
  2. Step 2: Convert to fraction form
    11,677.56/16,109.48 = 6,894.30/x
  3. Step 3: Cross multiply
    11,677.56x = 16,109.48 × 6,894.30
  4. Step 4: Simplify right side
    11,677.56x = 111,063,472.95
  5. Step 5: Solve for x
    x = 111,063,472.95/11,677.56
  6. Step 6: Final answer
    x = 9,510.85

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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.