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Finding the Fourth Proportional to 10,126.64, 15,169.82 and 6,173.03

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Solution

The fourth proportional to 10,126.64, 15,169.82 and 6,173.03 is: 9,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.64 : 15,169.82 = 6,173.03 : x
  2. Step 2: Convert to fraction form
    10,126.64/15,169.82 = 6,173.03/x
  3. Step 3: Cross multiply
    10,126.64x = 15,169.82 × 6,173.03
  4. Step 4: Simplify right side
    10,126.64x = 93,643,761.01
  5. Step 5: Solve for x
    x = 93,643,761.01/10,126.64
  6. Step 6: Final answer
    x = 9,247.27

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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.