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Finding the Fourth Proportional to 7,213.86, 10,825.11 and 2,597.22

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Solution

The fourth proportional to 7,213.86, 10,825.11 and 2,597.22 is: 3,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.86 : 10,825.11 = 2,597.22 : x
  2. Step 2: Convert to fraction form
    7,213.86/10,825.11 = 2,597.22/x
  3. Step 3: Cross multiply
    7,213.86x = 10,825.11 × 2,597.22
  4. Step 4: Simplify right side
    7,213.86x = 28,115,192.19
  5. Step 5: Solve for x
    x = 28,115,192.19/7,213.86
  6. Step 6: Final answer
    x = 3,897.39

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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.