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Finding the Fourth Proportional to 10,494.44, 14,481.86 and 6,014.98

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Solution

The fourth proportional to 10,494.44, 14,481.86 and 6,014.98 is: 8,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.44 : 14,481.86 = 6,014.98 : x
  2. Step 2: Convert to fraction form
    10,494.44/14,481.86 = 6,014.98/x
  3. Step 3: Cross multiply
    10,494.44x = 14,481.86 × 6,014.98
  4. Step 4: Simplify right side
    10,494.44x = 87,108,098.26
  5. Step 5: Solve for x
    x = 87,108,098.26/10,494.44
  6. Step 6: Final answer
    x = 8,300.40

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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.