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Finding the Fourth Proportional to 10,255.82, 14,153.22 and 6,009.94

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Solution

The fourth proportional to 10,255.82, 14,153.22 and 6,009.94 is: 8,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.82 : 14,153.22 = 6,009.94 : x
  2. Step 2: Convert to fraction form
    10,255.82/14,153.22 = 6,009.94/x
  3. Step 3: Cross multiply
    10,255.82x = 14,153.22 × 6,009.94
  4. Step 4: Simplify right side
    10,255.82x = 85,059,967.62
  5. Step 5: Solve for x
    x = 85,059,967.62/10,255.82
  6. Step 6: Final answer
    x = 8,293.82

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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.