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Finding the Fourth Proportional to 7,574.72, 11,362.62 and 2,380.48

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Solution

The fourth proportional to 7,574.72, 11,362.62 and 2,380.48 is: 3,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.72 : 11,362.62 = 2,380.48 : x
  2. Step 2: Convert to fraction form
    7,574.72/11,362.62 = 2,380.48/x
  3. Step 3: Cross multiply
    7,574.72x = 11,362.62 × 2,380.48
  4. Step 4: Simplify right side
    7,574.72x = 27,048,489.66
  5. Step 5: Solve for x
    x = 27,048,489.66/7,574.72
  6. Step 6: Final answer
    x = 3,570.89

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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.