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Finding the Fourth Proportional to 8,523.69, 11,764.44 and 4,987.77

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Solution

The fourth proportional to 8,523.69, 11,764.44 and 4,987.77 is: 6,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.69 : 11,764.44 = 4,987.77 : x
  2. Step 2: Convert to fraction form
    8,523.69/11,764.44 = 4,987.77/x
  3. Step 3: Cross multiply
    8,523.69x = 11,764.44 × 4,987.77
  4. Step 4: Simplify right side
    8,523.69x = 58,678,320.90
  5. Step 5: Solve for x
    x = 58,678,320.90/8,523.69
  6. Step 6: Final answer
    x = 6,884.15

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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.