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Finding the Fourth Proportional to 6,791.61, 10,189.02 and 2,111.40

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Solution

The fourth proportional to 6,791.61, 10,189.02 and 2,111.40 is: 3,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.61 : 10,189.02 = 2,111.40 : x
  2. Step 2: Convert to fraction form
    6,791.61/10,189.02 = 2,111.40/x
  3. Step 3: Cross multiply
    6,791.61x = 10,189.02 × 2,111.40
  4. Step 4: Simplify right side
    6,791.61x = 21,513,096.83
  5. Step 5: Solve for x
    x = 21,513,096.83/6,791.61
  6. Step 6: Final answer
    x = 3,167.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.