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Finding the Fourth Proportional to 7,225.86, 10,837.57 and 2,844.57

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Solution

The fourth proportional to 7,225.86, 10,837.57 and 2,844.57 is: 4,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.86 : 10,837.57 = 2,844.57 : x
  2. Step 2: Convert to fraction form
    7,225.86/10,837.57 = 2,844.57/x
  3. Step 3: Cross multiply
    7,225.86x = 10,837.57 × 2,844.57
  4. Step 4: Simplify right side
    7,225.86x = 30,828,226.49
  5. Step 5: Solve for x
    x = 30,828,226.49/7,225.86
  6. Step 6: Final answer
    x = 4,266.37

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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.