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Finding the Fourth Proportional to 8,378.49, 11,561.03 and 4,841.02

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Solution

The fourth proportional to 8,378.49, 11,561.03 and 4,841.02 is: 6,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.49 : 11,561.03 = 4,841.02 : x
  2. Step 2: Convert to fraction form
    8,378.49/11,561.03 = 4,841.02/x
  3. Step 3: Cross multiply
    8,378.49x = 11,561.03 × 4,841.02
  4. Step 4: Simplify right side
    8,378.49x = 55,967,120.82
  5. Step 5: Solve for x
    x = 55,967,120.82/8,378.49
  6. Step 6: Final answer
    x = 6,679.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.