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Finding the Fourth Proportional to 7,271.73, 10,913.81 and 2,892.26

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Solution

The fourth proportional to 7,271.73, 10,913.81 and 2,892.26 is: 4,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.73 : 10,913.81 = 2,892.26 : x
  2. Step 2: Convert to fraction form
    7,271.73/10,913.81 = 2,892.26/x
  3. Step 3: Cross multiply
    7,271.73x = 10,913.81 × 2,892.26
  4. Step 4: Simplify right side
    7,271.73x = 31,565,588.93
  5. Step 5: Solve for x
    x = 31,565,588.93/7,271.73
  6. Step 6: Final answer
    x = 4,340.86

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Why These Related Problems?

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