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Finding the Fourth Proportional to 8,536.29, 11,781 and 5,002.47

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Solution

The fourth proportional to 8,536.29, 11,781 and 5,002.47 is: 6,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.29 : 11,781 = 5,002.47 : x
  2. Step 2: Convert to fraction form
    8,536.29/11,781 = 5,002.47/x
  3. Step 3: Cross multiply
    8,536.29x = 11,781 × 5,002.47
  4. Step 4: Simplify right side
    8,536.29x = 58,934,099.07
  5. Step 5: Solve for x
    x = 58,934,099.07/8,536.29
  6. Step 6: Final answer
    x = 6,903.95

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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.