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Finding the Fourth Proportional to 11,532.78, 15,911.94 and 6,495.24

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Solution

The fourth proportional to 11,532.78, 15,911.94 and 6,495.24 is: 8,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.78 : 15,911.94 = 6,495.24 : x
  2. Step 2: Convert to fraction form
    11,532.78/15,911.94 = 6,495.24/x
  3. Step 3: Cross multiply
    11,532.78x = 15,911.94 × 6,495.24
  4. Step 4: Simplify right side
    11,532.78x = 103,351,863.69
  5. Step 5: Solve for x
    x = 103,351,863.69/11,532.78
  6. Step 6: Final answer
    x = 8,961.57

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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.