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Finding the Fourth Proportional to 10,697.46, 16,047 and 2,906.34

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Solution

The fourth proportional to 10,697.46, 16,047 and 2,906.34 is: 4,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.46 : 16,047 = 2,906.34 : x
  2. Step 2: Convert to fraction form
    10,697.46/16,047 = 2,906.34/x
  3. Step 3: Cross multiply
    10,697.46x = 16,047 × 2,906.34
  4. Step 4: Simplify right side
    10,697.46x = 46,638,037.98
  5. Step 5: Solve for x
    x = 46,638,037.98/10,697.46
  6. Step 6: Final answer
    x = 4,359.73

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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.