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Finding the Fourth Proportional to 6,688.40, 10,013.40 and 5,997.20

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Solution

The fourth proportional to 6,688.40, 10,013.40 and 5,997.20 is: 8,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.40 : 10,013.40 = 5,997.20 : x
  2. Step 2: Convert to fraction form
    6,688.40/10,013.40 = 5,997.20/x
  3. Step 3: Cross multiply
    6,688.40x = 10,013.40 × 5,997.20
  4. Step 4: Simplify right side
    6,688.40x = 60,052,362.48
  5. Step 5: Solve for x
    x = 60,052,362.48/6,688.40
  6. Step 6: Final answer
    x = 8,978.58

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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.