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Finding the Fourth Proportional to 7,297.31, 10,061.09 and 4,775.43

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Solution

The fourth proportional to 7,297.31, 10,061.09 and 4,775.43 is: 6,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.31 : 10,061.09 = 4,775.43 : x
  2. Step 2: Convert to fraction form
    7,297.31/10,061.09 = 4,775.43/x
  3. Step 3: Cross multiply
    7,297.31x = 10,061.09 × 4,775.43
  4. Step 4: Simplify right side
    7,297.31x = 48,046,007.14
  5. Step 5: Solve for x
    x = 48,046,007.14/7,297.31
  6. Step 6: Final answer
    x = 6,584.07

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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.