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Finding the Fourth Proportional to 7,288.74, 10,057.50 and 4,102.20

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Solution

The fourth proportional to 7,288.74, 10,057.50 and 4,102.20 is: 5,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.74 : 10,057.50 = 4,102.20 : x
  2. Step 2: Convert to fraction form
    7,288.74/10,057.50 = 4,102.20/x
  3. Step 3: Cross multiply
    7,288.74x = 10,057.50 × 4,102.20
  4. Step 4: Simplify right side
    7,288.74x = 41,257,876.50
  5. Step 5: Solve for x
    x = 41,257,876.50/7,288.74
  6. Step 6: Final answer
    x = 5,660.50

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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.