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Finding the Fourth Proportional to 7,532.46, 10,394.82 and 4,175.34

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Solution

The fourth proportional to 7,532.46, 10,394.82 and 4,175.34 is: 5,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.46 : 10,394.82 = 4,175.34 : x
  2. Step 2: Convert to fraction form
    7,532.46/10,394.82 = 4,175.34/x
  3. Step 3: Cross multiply
    7,532.46x = 10,394.82 × 4,175.34
  4. Step 4: Simplify right side
    7,532.46x = 43,401,907.74
  5. Step 5: Solve for x
    x = 43,401,907.74/7,532.46
  6. Step 6: Final answer
    x = 5,761.98

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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.