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Finding the Fourth Proportional to 6,301.68, 8,693.44 and 5,796.24

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Solution

The fourth proportional to 6,301.68, 8,693.44 and 5,796.24 is: 7,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.68 : 8,693.44 = 5,796.24 : x
  2. Step 2: Convert to fraction form
    6,301.68/8,693.44 = 5,796.24/x
  3. Step 3: Cross multiply
    6,301.68x = 8,693.44 × 5,796.24
  4. Step 4: Simplify right side
    6,301.68x = 50,389,264.67
  5. Step 5: Solve for x
    x = 50,389,264.67/6,301.68
  6. Step 6: Final answer
    x = 7,996.16

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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.