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Finding the Fourth Proportional to 8,520.82, 11,764.47 and 5,335.36

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Solution

The fourth proportional to 8,520.82, 11,764.47 and 5,335.36 is: 7,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.82 : 11,764.47 = 5,335.36 : x
  2. Step 2: Convert to fraction form
    8,520.82/11,764.47 = 5,335.36/x
  3. Step 3: Cross multiply
    8,520.82x = 11,764.47 × 5,335.36
  4. Step 4: Simplify right side
    8,520.82x = 62,767,682.66
  5. Step 5: Solve for x
    x = 62,767,682.66/8,520.82
  6. Step 6: Final answer
    x = 7,366.39

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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.