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Finding the Fourth Proportional to 7,027.02, 9,688.41 and 5,137.02

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Solution

The fourth proportional to 7,027.02, 9,688.41 and 5,137.02 is: 7,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.02 : 9,688.41 = 5,137.02 : x
  2. Step 2: Convert to fraction form
    7,027.02/9,688.41 = 5,137.02/x
  3. Step 3: Cross multiply
    7,027.02x = 9,688.41 × 5,137.02
  4. Step 4: Simplify right side
    7,027.02x = 49,769,555.94
  5. Step 5: Solve for x
    x = 49,769,555.94/7,027.02
  6. Step 6: Final answer
    x = 7,082.60

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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.