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Finding the Fourth Proportional to 7,660.48, 11,488.29 and 2,980.18

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Solution

The fourth proportional to 7,660.48, 11,488.29 and 2,980.18 is: 4,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.48 : 11,488.29 = 2,980.18 : x
  2. Step 2: Convert to fraction form
    7,660.48/11,488.29 = 2,980.18/x
  3. Step 3: Cross multiply
    7,660.48x = 11,488.29 × 2,980.18
  4. Step 4: Simplify right side
    7,660.48x = 34,237,172.09
  5. Step 5: Solve for x
    x = 34,237,172.09/7,660.48
  6. Step 6: Final answer
    x = 4,469.32

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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.