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Finding the Fourth Proportional to 10,697.91, 16,052.38 and 4,776.60

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Solution

The fourth proportional to 10,697.91, 16,052.38 and 4,776.60 is: 7,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.91 : 16,052.38 = 4,776.60 : x
  2. Step 2: Convert to fraction form
    10,697.91/16,052.38 = 4,776.60/x
  3. Step 3: Cross multiply
    10,697.91x = 16,052.38 × 4,776.60
  4. Step 4: Simplify right side
    10,697.91x = 76,675,846.56
  5. Step 5: Solve for x
    x = 76,675,846.56/10,697.91
  6. Step 6: Final answer
    x = 7,167.37

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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.