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Finding the Fourth Proportional to 11,517, 15,824.56 and 9,155.04

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Solution

The fourth proportional to 11,517, 15,824.56 and 9,155.04 is: 12,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 15,824.56 = 9,155.04 : x
  2. Step 2: Convert to fraction form
    11,517/15,824.56 = 9,155.04/x
  3. Step 3: Cross multiply
    11,517x = 15,824.56 × 9,155.04
  4. Step 4: Simplify right side
    11,517x = 144,874,479.78
  5. Step 5: Solve for x
    x = 144,874,479.78/11,517
  6. Step 6: Final answer
    x = 12,579.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.