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Finding the Fourth Proportional to 7,781.57, 11,674.33 and 2,235.30

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Solution

The fourth proportional to 7,781.57, 11,674.33 and 2,235.30 is: 3,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.57 : 11,674.33 = 2,235.30 : x
  2. Step 2: Convert to fraction form
    7,781.57/11,674.33 = 2,235.30/x
  3. Step 3: Cross multiply
    7,781.57x = 11,674.33 × 2,235.30
  4. Step 4: Simplify right side
    7,781.57x = 26,095,580.48
  5. Step 5: Solve for x
    x = 26,095,580.48/7,781.57
  6. Step 6: Final answer
    x = 3,353.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.