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Finding the Fourth Proportional to 12,111.30, 16,715.22 and 6,806.40

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Solution

The fourth proportional to 12,111.30, 16,715.22 and 6,806.40 is: 9,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.30 : 16,715.22 = 6,806.40 : x
  2. Step 2: Convert to fraction form
    12,111.30/16,715.22 = 6,806.40/x
  3. Step 3: Cross multiply
    12,111.30x = 16,715.22 × 6,806.40
  4. Step 4: Simplify right side
    12,111.30x = 113,770,473.41
  5. Step 5: Solve for x
    x = 113,770,473.41/12,111.30
  6. Step 6: Final answer
    x = 9,393.75

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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.