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Finding the Fourth Proportional to 7,244.28, 9,997.50 and 4,057.50

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Solution

The fourth proportional to 7,244.28, 9,997.50 and 4,057.50 is: 5,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.28 : 9,997.50 = 4,057.50 : x
  2. Step 2: Convert to fraction form
    7,244.28/9,997.50 = 4,057.50/x
  3. Step 3: Cross multiply
    7,244.28x = 9,997.50 × 4,057.50
  4. Step 4: Simplify right side
    7,244.28x = 40,564,856.25
  5. Step 5: Solve for x
    x = 40,564,856.25/7,244.28
  6. Step 6: Final answer
    x = 5,599.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.