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Finding the Fourth Proportional to 10,764.66, 14,852.61 and 8,249.61

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Solution

The fourth proportional to 10,764.66, 14,852.61 and 8,249.61 is: 11,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.66 : 14,852.61 = 8,249.61 : x
  2. Step 2: Convert to fraction form
    10,764.66/14,852.61 = 8,249.61/x
  3. Step 3: Cross multiply
    10,764.66x = 14,852.61 × 8,249.61
  4. Step 4: Simplify right side
    10,764.66x = 122,528,239.98
  5. Step 5: Solve for x
    x = 122,528,239.98/10,764.66
  6. Step 6: Final answer
    x = 11,382.45

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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.