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Finding the Fourth Proportional to 7,894.36, 11,837.70 and 4,608.52

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Solution

The fourth proportional to 7,894.36, 11,837.70 and 4,608.52 is: 6,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.36 : 11,837.70 = 4,608.52 : x
  2. Step 2: Convert to fraction form
    7,894.36/11,837.70 = 4,608.52/x
  3. Step 3: Cross multiply
    7,894.36x = 11,837.70 × 4,608.52
  4. Step 4: Simplify right side
    7,894.36x = 54,554,277.20
  5. Step 5: Solve for x
    x = 54,554,277.20/7,894.36
  6. Step 6: Final answer
    x = 6,910.54

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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.