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Finding the Fourth Proportional to 7,175.25, 10,762.47 and 2,244.31

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Solution

The fourth proportional to 7,175.25, 10,762.47 and 2,244.31 is: 3,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.25 : 10,762.47 = 2,244.31 : x
  2. Step 2: Convert to fraction form
    7,175.25/10,762.47 = 2,244.31/x
  3. Step 3: Cross multiply
    7,175.25x = 10,762.47 × 2,244.31
  4. Step 4: Simplify right side
    7,175.25x = 24,154,319.05
  5. Step 5: Solve for x
    x = 24,154,319.05/7,175.25
  6. Step 6: Final answer
    x = 3,366.34

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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.