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Finding the Fourth Proportional to 12,111.11, 16,706.11 and 7,387.19

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Solution

The fourth proportional to 12,111.11, 16,706.11 and 7,387.19 is: 10,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.11 : 16,706.11 = 7,387.19 : x
  2. Step 2: Convert to fraction form
    12,111.11/16,706.11 = 7,387.19/x
  3. Step 3: Cross multiply
    12,111.11x = 16,706.11 × 7,387.19
  4. Step 4: Simplify right side
    12,111.11x = 123,411,208.73
  5. Step 5: Solve for x
    x = 123,411,208.73/12,111.11
  6. Step 6: Final answer
    x = 10,189.92

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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.