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Finding the Fourth Proportional to 7,263.86, 10,897.29 and 2,266.10

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Solution

The fourth proportional to 7,263.86, 10,897.29 and 2,266.10 is: 3,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.86 : 10,897.29 = 2,266.10 : x
  2. Step 2: Convert to fraction form
    7,263.86/10,897.29 = 2,266.10/x
  3. Step 3: Cross multiply
    7,263.86x = 10,897.29 × 2,266.10
  4. Step 4: Simplify right side
    7,263.86x = 24,694,348.87
  5. Step 5: Solve for x
    x = 24,694,348.87/7,263.86
  6. Step 6: Final answer
    x = 3,399.62

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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.