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Finding the Fourth Proportional to 10,291.59, 14,198.22 and 6,305.85

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Solution

The fourth proportional to 10,291.59, 14,198.22 and 6,305.85 is: 8,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.59 : 14,198.22 = 6,305.85 : x
  2. Step 2: Convert to fraction form
    10,291.59/14,198.22 = 6,305.85/x
  3. Step 3: Cross multiply
    10,291.59x = 14,198.22 × 6,305.85
  4. Step 4: Simplify right side
    10,291.59x = 89,531,845.59
  5. Step 5: Solve for x
    x = 89,531,845.59/10,291.59
  6. Step 6: Final answer
    x = 8,699.52

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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.