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Finding the Fourth Proportional to 8,362.74, 11,540.13 and 4,636.50

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Solution

The fourth proportional to 8,362.74, 11,540.13 and 4,636.50 is: 6,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.74 : 11,540.13 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    8,362.74/11,540.13 = 4,636.50/x
  3. Step 3: Cross multiply
    8,362.74x = 11,540.13 × 4,636.50
  4. Step 4: Simplify right side
    8,362.74x = 53,505,812.75
  5. Step 5: Solve for x
    x = 53,505,812.75/8,362.74
  6. Step 6: Final answer
    x = 6,398.12

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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.