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Finding the Fourth Proportional to 10,697.28, 16,047.12 and 2,906.16

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Solution

The fourth proportional to 10,697.28, 16,047.12 and 2,906.16 is: 4,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.28 : 16,047.12 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    10,697.28/16,047.12 = 2,906.16/x
  3. Step 3: Cross multiply
    10,697.28x = 16,047.12 × 2,906.16
  4. Step 4: Simplify right side
    10,697.28x = 46,635,498.26
  5. Step 5: Solve for x
    x = 46,635,498.26/10,697.28
  6. Step 6: Final answer
    x = 4,359.57

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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.