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Finding the Fourth Proportional to 10,285.22, 14,193.88 and 6,308.52

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Solution

The fourth proportional to 10,285.22, 14,193.88 and 6,308.52 is: 8,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.22 : 14,193.88 = 6,308.52 : x
  2. Step 2: Convert to fraction form
    10,285.22/14,193.88 = 6,308.52/x
  3. Step 3: Cross multiply
    10,285.22x = 14,193.88 × 6,308.52
  4. Step 4: Simplify right side
    10,285.22x = 89,542,375.86
  5. Step 5: Solve for x
    x = 89,542,375.86/10,285.22
  6. Step 6: Final answer
    x = 8,705.93

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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.