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Finding the Fourth Proportional to 6,997.32, 10,471.32 and 4,222.08

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Solution

The fourth proportional to 6,997.32, 10,471.32 and 4,222.08 is: 6,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 10,471.32 = 4,222.08 : x
  2. Step 2: Convert to fraction form
    6,997.32/10,471.32 = 4,222.08/x
  3. Step 3: Cross multiply
    6,997.32x = 10,471.32 × 4,222.08
  4. Step 4: Simplify right side
    6,997.32x = 44,210,750.75
  5. Step 5: Solve for x
    x = 44,210,750.75/6,997.32
  6. Step 6: Final answer
    x = 6,318.24

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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.