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Finding the Fourth Proportional to 6,996.81, 10,485.03 and 4,490.13

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Solution

The fourth proportional to 6,996.81, 10,485.03 and 4,490.13 is: 6,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.81 : 10,485.03 = 4,490.13 : x
  2. Step 2: Convert to fraction form
    6,996.81/10,485.03 = 4,490.13/x
  3. Step 3: Cross multiply
    6,996.81x = 10,485.03 × 4,490.13
  4. Step 4: Simplify right side
    6,996.81x = 47,079,131.25
  5. Step 5: Solve for x
    x = 47,079,131.25/6,996.81
  6. Step 6: Final answer
    x = 6,728.66

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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.