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Finding the Fourth Proportional to 7,614.54, 11,420.34 and 2,348.16

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Solution

The fourth proportional to 7,614.54, 11,420.34 and 2,348.16 is: 3,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.54 : 11,420.34 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    7,614.54/11,420.34 = 2,348.16/x
  3. Step 3: Cross multiply
    7,614.54x = 11,420.34 × 2,348.16
  4. Step 4: Simplify right side
    7,614.54x = 26,816,785.57
  5. Step 5: Solve for x
    x = 26,816,785.57/7,614.54
  6. Step 6: Final answer
    x = 3,521.79

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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.