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Finding the Fourth Proportional to 7,175.40, 10,743.12 and 5,415.06

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Solution

The fourth proportional to 7,175.40, 10,743.12 and 5,415.06 is: 8,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.40 : 10,743.12 = 5,415.06 : x
  2. Step 2: Convert to fraction form
    7,175.40/10,743.12 = 5,415.06/x
  3. Step 3: Cross multiply
    7,175.40x = 10,743.12 × 5,415.06
  4. Step 4: Simplify right side
    7,175.40x = 58,174,612.31
  5. Step 5: Solve for x
    x = 58,174,612.31/7,175.40
  6. Step 6: Final answer
    x = 8,107.51

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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.