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Finding the Fourth Proportional to 7,846.30, 10,817.40 and 6,722.41

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Solution

The fourth proportional to 7,846.30, 10,817.40 and 6,722.41 is: 9,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.30 : 10,817.40 = 6,722.41 : x
  2. Step 2: Convert to fraction form
    7,846.30/10,817.40 = 6,722.41/x
  3. Step 3: Cross multiply
    7,846.30x = 10,817.40 × 6,722.41
  4. Step 4: Simplify right side
    7,846.30x = 72,718,997.93
  5. Step 5: Solve for x
    x = 72,718,997.93/7,846.30
  6. Step 6: Final answer
    x = 9,267.93

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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.