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Finding the Fourth Proportional to 7,592.64, 11,391.76 and 3,431.36

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Solution

The fourth proportional to 7,592.64, 11,391.76 and 3,431.36 is: 5,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.64 : 11,391.76 = 3,431.36 : x
  2. Step 2: Convert to fraction form
    7,592.64/11,391.76 = 3,431.36/x
  3. Step 3: Cross multiply
    7,592.64x = 11,391.76 × 3,431.36
  4. Step 4: Simplify right side
    7,592.64x = 39,089,229.59
  5. Step 5: Solve for x
    x = 39,089,229.59/7,592.64
  6. Step 6: Final answer
    x = 5,148.31

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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.