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Finding the Fourth Proportional to 6,980.67, 10,456.85 and 3,460.07

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Solution

The fourth proportional to 6,980.67, 10,456.85 and 3,460.07 is: 5,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.67 : 10,456.85 = 3,460.07 : x
  2. Step 2: Convert to fraction form
    6,980.67/10,456.85 = 3,460.07/x
  3. Step 3: Cross multiply
    6,980.67x = 10,456.85 × 3,460.07
  4. Step 4: Simplify right side
    6,980.67x = 36,181,363.39
  5. Step 5: Solve for x
    x = 36,181,363.39/6,980.67
  6. Step 6: Final answer
    x = 5,183.08

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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.