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Finding the Fourth Proportional to 7,570.75, 11,354.78 and 2,304.49

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Solution

The fourth proportional to 7,570.75, 11,354.78 and 2,304.49 is: 3,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.75 : 11,354.78 = 2,304.49 : x
  2. Step 2: Convert to fraction form
    7,570.75/11,354.78 = 2,304.49/x
  3. Step 3: Cross multiply
    7,570.75x = 11,354.78 × 2,304.49
  4. Step 4: Simplify right side
    7,570.75x = 26,166,976.96
  5. Step 5: Solve for x
    x = 26,166,976.96/7,570.75
  6. Step 6: Final answer
    x = 3,456.33

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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.