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Finding the Fourth Proportional to 10,679.78, 14,733.51 and 6,200.30

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Solution

The fourth proportional to 10,679.78, 14,733.51 and 6,200.30 is: 8,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.78 : 14,733.51 = 6,200.30 : x
  2. Step 2: Convert to fraction form
    10,679.78/14,733.51 = 6,200.30/x
  3. Step 3: Cross multiply
    10,679.78x = 14,733.51 × 6,200.30
  4. Step 4: Simplify right side
    10,679.78x = 91,352,182.05
  5. Step 5: Solve for x
    x = 91,352,182.05/10,679.78
  6. Step 6: Final answer
    x = 8,553.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.