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Finding the Fourth Proportional to 10,512.25, 15,736.17 and 6,807.11

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Solution

The fourth proportional to 10,512.25, 15,736.17 and 6,807.11 is: 10,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.25 : 15,736.17 = 6,807.11 : x
  2. Step 2: Convert to fraction form
    10,512.25/15,736.17 = 6,807.11/x
  3. Step 3: Cross multiply
    10,512.25x = 15,736.17 × 6,807.11
  4. Step 4: Simplify right side
    10,512.25x = 107,117,787.01
  5. Step 5: Solve for x
    x = 107,117,787.01/10,512.25
  6. Step 6: Final answer
    x = 10,189.81

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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.