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Finding the Fourth Proportional to 11,433.22, 15,778.45 and 6,397.14

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Solution

The fourth proportional to 11,433.22, 15,778.45 and 6,397.14 is: 8,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.22 : 15,778.45 = 6,397.14 : x
  2. Step 2: Convert to fraction form
    11,433.22/15,778.45 = 6,397.14/x
  3. Step 3: Cross multiply
    11,433.22x = 15,778.45 × 6,397.14
  4. Step 4: Simplify right side
    11,433.22x = 100,936,953.63
  5. Step 5: Solve for x
    x = 100,936,953.63/11,433.22
  6. Step 6: Final answer
    x = 8,828.39

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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.