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Finding the Fourth Proportional to 6,980.74, 10,473.38 and 3,283.33

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Solution

The fourth proportional to 6,980.74, 10,473.38 and 3,283.33 is: 4,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.74 : 10,473.38 = 3,283.33 : x
  2. Step 2: Convert to fraction form
    6,980.74/10,473.38 = 3,283.33/x
  3. Step 3: Cross multiply
    6,980.74x = 10,473.38 × 3,283.33
  4. Step 4: Simplify right side
    6,980.74x = 34,387,562.76
  5. Step 5: Solve for x
    x = 34,387,562.76/6,980.74
  6. Step 6: Final answer
    x = 4,926.06

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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.