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Finding the Fourth Proportional to 10,764.50, 14,853.38 and 6,288.44

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Solution

The fourth proportional to 10,764.50, 14,853.38 and 6,288.44 is: 8,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.50 : 14,853.38 = 6,288.44 : x
  2. Step 2: Convert to fraction form
    10,764.50/14,853.38 = 6,288.44/x
  3. Step 3: Cross multiply
    10,764.50x = 14,853.38 × 6,288.44
  4. Step 4: Simplify right side
    10,764.50x = 93,404,483.22
  5. Step 5: Solve for x
    x = 93,404,483.22/10,764.50
  6. Step 6: Final answer
    x = 8,677.09

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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.