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Finding the Fourth Proportional to 10,697.37, 16,046.00 and 2,906.18

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Solution

The fourth proportional to 10,697.37, 16,046.00 and 2,906.18 is: 4,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.37 : 16,046.00 = 2,906.18 : x
  2. Step 2: Convert to fraction form
    10,697.37/16,046.00 = 2,906.18/x
  3. Step 3: Cross multiply
    10,697.37x = 16,046.00 × 2,906.18
  4. Step 4: Simplify right side
    10,697.37x = 46,632,549.75
  5. Step 5: Solve for x
    x = 46,632,549.75/10,697.37
  6. Step 6: Final answer
    x = 4,359.25

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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.