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Finding the Fourth Proportional to 6,815.48, 10,223.36 and 4,490.32

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Solution

The fourth proportional to 6,815.48, 10,223.36 and 4,490.32 is: 6,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.48 : 10,223.36 = 4,490.32 : x
  2. Step 2: Convert to fraction form
    6,815.48/10,223.36 = 4,490.32/x
  3. Step 3: Cross multiply
    6,815.48x = 10,223.36 × 4,490.32
  4. Step 4: Simplify right side
    6,815.48x = 45,906,157.88
  5. Step 5: Solve for x
    x = 45,906,157.88/6,815.48
  6. Step 6: Final answer
    x = 6,735.57

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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.