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Finding the Fourth Proportional to 8,449.22, 11,661.10 and 5,309.66

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Solution

The fourth proportional to 8,449.22, 11,661.10 and 5,309.66 is: 7,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.22 : 11,661.10 = 5,309.66 : x
  2. Step 2: Convert to fraction form
    8,449.22/11,661.10 = 5,309.66/x
  3. Step 3: Cross multiply
    8,449.22x = 11,661.10 × 5,309.66
  4. Step 4: Simplify right side
    8,449.22x = 61,916,476.23
  5. Step 5: Solve for x
    x = 61,916,476.23/8,449.22
  6. Step 6: Final answer
    x = 7,328.07

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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.