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Finding the Fourth Proportional to 6,910.56, 10,365.84 and 5,959.22

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Solution

The fourth proportional to 6,910.56, 10,365.84 and 5,959.22 is: 8,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.56 : 10,365.84 = 5,959.22 : x
  2. Step 2: Convert to fraction form
    6,910.56/10,365.84 = 5,959.22/x
  3. Step 3: Cross multiply
    6,910.56x = 10,365.84 × 5,959.22
  4. Step 4: Simplify right side
    6,910.56x = 61,772,269.22
  5. Step 5: Solve for x
    x = 61,772,269.22/6,910.56
  6. Step 6: Final answer
    x = 8,938.82

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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.