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Finding the Fourth Proportional to 7,837.03, 11,744.49 and 4,328.61

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Solution

The fourth proportional to 7,837.03, 11,744.49 and 4,328.61 is: 6,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.03 : 11,744.49 = 4,328.61 : x
  2. Step 2: Convert to fraction form
    7,837.03/11,744.49 = 4,328.61/x
  3. Step 3: Cross multiply
    7,837.03x = 11,744.49 × 4,328.61
  4. Step 4: Simplify right side
    7,837.03x = 50,837,388.14
  5. Step 5: Solve for x
    x = 50,837,388.14/7,837.03
  6. Step 6: Final answer
    x = 6,486.82

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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.