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Finding the Fourth Proportional to 10,162.73, 15,244.00 and 7,943.42

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Solution

The fourth proportional to 10,162.73, 15,244.00 and 7,943.42 is: 11,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.73 : 15,244.00 = 7,943.42 : x
  2. Step 2: Convert to fraction form
    10,162.73/15,244.00 = 7,943.42/x
  3. Step 3: Cross multiply
    10,162.73x = 15,244.00 × 7,943.42
  4. Step 4: Simplify right side
    10,162.73x = 121,089,574.72
  5. Step 5: Solve for x
    x = 121,089,574.72/10,162.73
  6. Step 6: Final answer
    x = 11,915.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.