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Finding the Fourth Proportional to 12,111.12, 16,711.11 and 6,804.81

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Solution

The fourth proportional to 12,111.12, 16,711.11 and 6,804.81 is: 9,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.12 : 16,711.11 = 6,804.81 : x
  2. Step 2: Convert to fraction form
    12,111.12/16,711.11 = 6,804.81/x
  3. Step 3: Cross multiply
    12,111.12x = 16,711.11 × 6,804.81
  4. Step 4: Simplify right side
    12,111.12x = 113,715,928.44
  5. Step 5: Solve for x
    x = 113,715,928.44/12,111.12
  6. Step 6: Final answer
    x = 9,389.38

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Why These Related Problems?

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