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Finding the Fourth Proportional to 7,532.97, 10,395.51 and 4,175.82

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Solution

The fourth proportional to 7,532.97, 10,395.51 and 4,175.82 is: 5,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.97 : 10,395.51 = 4,175.82 : x
  2. Step 2: Convert to fraction form
    7,532.97/10,395.51 = 4,175.82/x
  3. Step 3: Cross multiply
    7,532.97x = 10,395.51 × 4,175.82
  4. Step 4: Simplify right side
    7,532.97x = 43,409,778.57
  5. Step 5: Solve for x
    x = 43,409,778.57/7,532.97
  6. Step 6: Final answer
    x = 5,762.64

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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.