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Finding the Fourth Proportional to 6,998.40, 10,485.44 and 5,842.56

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Solution

The fourth proportional to 6,998.40, 10,485.44 and 5,842.56 is: 8,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 10,485.44 = 5,842.56 : x
  2. Step 2: Convert to fraction form
    6,998.40/10,485.44 = 5,842.56/x
  3. Step 3: Cross multiply
    6,998.40x = 10,485.44 × 5,842.56
  4. Step 4: Simplify right side
    6,998.40x = 61,261,812.33
  5. Step 5: Solve for x
    x = 61,261,812.33/6,998.40
  6. Step 6: Final answer
    x = 8,753.69

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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.