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Finding the Fourth Proportional to 6,980.48, 10,471.88 and 3,236.02

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Solution

The fourth proportional to 6,980.48, 10,471.88 and 3,236.02 is: 4,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.48 : 10,471.88 = 3,236.02 : x
  2. Step 2: Convert to fraction form
    6,980.48/10,471.88 = 3,236.02/x
  3. Step 3: Cross multiply
    6,980.48x = 10,471.88 × 3,236.02
  4. Step 4: Simplify right side
    6,980.48x = 33,887,213.12
  5. Step 5: Solve for x
    x = 33,887,213.12/6,980.48
  6. Step 6: Final answer
    x = 4,854.57

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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.