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Finding the Fourth Proportional to 8,524.66, 11,764.02 and 4,988.54

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Solution

The fourth proportional to 8,524.66, 11,764.02 and 4,988.54 is: 6,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.66 : 11,764.02 = 4,988.54 : x
  2. Step 2: Convert to fraction form
    8,524.66/11,764.02 = 4,988.54/x
  3. Step 3: Cross multiply
    8,524.66x = 11,764.02 × 4,988.54
  4. Step 4: Simplify right side
    8,524.66x = 58,685,284.33
  5. Step 5: Solve for x
    x = 58,685,284.33/8,524.66
  6. Step 6: Final answer
    x = 6,884.18

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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.