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Finding the Fourth Proportional to 11,532.75, 15,915.20 and 6,564.75

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Solution

The fourth proportional to 11,532.75, 15,915.20 and 6,564.75 is: 9,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.75 : 15,915.20 = 6,564.75 : x
  2. Step 2: Convert to fraction form
    11,532.75/15,915.20 = 6,564.75/x
  3. Step 3: Cross multiply
    11,532.75x = 15,915.20 × 6,564.75
  4. Step 4: Simplify right side
    11,532.75x = 104,479,309.20
  5. Step 5: Solve for x
    x = 104,479,309.20/11,532.75
  6. Step 6: Final answer
    x = 9,059.36

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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.