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Finding the Fourth Proportional to 7,575.31, 11,365.29 and 3,880.16

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Solution

The fourth proportional to 7,575.31, 11,365.29 and 3,880.16 is: 5,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.31 : 11,365.29 = 3,880.16 : x
  2. Step 2: Convert to fraction form
    7,575.31/11,365.29 = 3,880.16/x
  3. Step 3: Cross multiply
    7,575.31x = 11,365.29 × 3,880.16
  4. Step 4: Simplify right side
    7,575.31x = 44,099,143.65
  5. Step 5: Solve for x
    x = 44,099,143.65/7,575.31
  6. Step 6: Final answer
    x = 5,821.43

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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.