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Finding the Fourth Proportional to 7,632.37, 10,532.82 and 5,398.24

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Solution

The fourth proportional to 7,632.37, 10,532.82 and 5,398.24 is: 7,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.37 : 10,532.82 = 5,398.24 : x
  2. Step 2: Convert to fraction form
    7,632.37/10,532.82 = 5,398.24/x
  3. Step 3: Cross multiply
    7,632.37x = 10,532.82 × 5,398.24
  4. Step 4: Simplify right side
    7,632.37x = 56,858,690.24
  5. Step 5: Solve for x
    x = 56,858,690.24/7,632.37
  6. Step 6: Final answer
    x = 7,449.68

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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.