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Finding the Fourth Proportional to 10,244.26, 15,342.03 and 6,534.88

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Solution

The fourth proportional to 10,244.26, 15,342.03 and 6,534.88 is: 9,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.26 : 15,342.03 = 6,534.88 : x
  2. Step 2: Convert to fraction form
    10,244.26/15,342.03 = 6,534.88/x
  3. Step 3: Cross multiply
    10,244.26x = 15,342.03 × 6,534.88
  4. Step 4: Simplify right side
    10,244.26x = 100,258,325.01
  5. Step 5: Solve for x
    x = 100,258,325.01/10,244.26
  6. Step 6: Final answer
    x = 9,786.78

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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.