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Finding the Fourth Proportional to 10,685.34, 16,031.25 and 5,494.86

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Solution

The fourth proportional to 10,685.34, 16,031.25 and 5,494.86 is: 8,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.34 : 16,031.25 = 5,494.86 : x
  2. Step 2: Convert to fraction form
    10,685.34/16,031.25 = 5,494.86/x
  3. Step 3: Cross multiply
    10,685.34x = 16,031.25 × 5,494.86
  4. Step 4: Simplify right side
    10,685.34x = 88,089,474.38
  5. Step 5: Solve for x
    x = 88,089,474.38/10,685.34
  6. Step 6: Final answer
    x = 8,243.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.