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Finding the Fourth Proportional to 10,701.86, 16,052.80 and 3,771.50

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Solution

The fourth proportional to 10,701.86, 16,052.80 and 3,771.50 is: 5,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.86 : 16,052.80 = 3,771.50 : x
  2. Step 2: Convert to fraction form
    10,701.86/16,052.80 = 3,771.50/x
  3. Step 3: Cross multiply
    10,701.86x = 16,052.80 × 3,771.50
  4. Step 4: Simplify right side
    10,701.86x = 60,543,135.20
  5. Step 5: Solve for x
    x = 60,543,135.20/10,701.86
  6. Step 6: Final answer
    x = 5,657.25

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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.