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Finding the Fourth Proportional to 6,463.89, 8,910.72 and 5,138.06

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Solution

The fourth proportional to 6,463.89, 8,910.72 and 5,138.06 is: 7,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.89 : 8,910.72 = 5,138.06 : x
  2. Step 2: Convert to fraction form
    6,463.89/8,910.72 = 5,138.06/x
  3. Step 3: Cross multiply
    6,463.89x = 8,910.72 × 5,138.06
  4. Step 4: Simplify right side
    6,463.89x = 45,783,769.45
  5. Step 5: Solve for x
    x = 45,783,769.45/6,463.89
  6. Step 6: Final answer
    x = 7,083.01

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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.