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Finding the Fourth Proportional to 7,660.98, 11,489.04 and 2,980.68

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Solution

The fourth proportional to 7,660.98, 11,489.04 and 2,980.68 is: 4,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.98 : 11,489.04 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    7,660.98/11,489.04 = 2,980.68/x
  3. Step 3: Cross multiply
    7,660.98x = 11,489.04 × 2,980.68
  4. Step 4: Simplify right side
    7,660.98x = 34,245,151.75
  5. Step 5: Solve for x
    x = 34,245,151.75/7,660.98
  6. Step 6: Final answer
    x = 4,470.07

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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.