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Finding the Fourth Proportional to 7,532.16, 10,394.09 and 4,175.02

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Solution

The fourth proportional to 7,532.16, 10,394.09 and 4,175.02 is: 5,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.16 : 10,394.09 = 4,175.02 : x
  2. Step 2: Convert to fraction form
    7,532.16/10,394.09 = 4,175.02/x
  3. Step 3: Cross multiply
    7,532.16x = 10,394.09 × 4,175.02
  4. Step 4: Simplify right side
    7,532.16x = 43,395,541.41
  5. Step 5: Solve for x
    x = 43,395,541.41/7,532.16
  6. Step 6: Final answer
    x = 5,761.37

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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.