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Finding the Fourth Proportional to 8,541.84, 11,786.83 and 5,004.39

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Solution

The fourth proportional to 8,541.84, 11,786.83 and 5,004.39 is: 6,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.84 : 11,786.83 = 5,004.39 : x
  2. Step 2: Convert to fraction form
    8,541.84/11,786.83 = 5,004.39/x
  3. Step 3: Cross multiply
    8,541.84x = 11,786.83 × 5,004.39
  4. Step 4: Simplify right side
    8,541.84x = 58,985,894.18
  5. Step 5: Solve for x
    x = 58,985,894.18/8,541.84
  6. Step 6: Final answer
    x = 6,905.53

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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.