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Finding the Fourth Proportional to 10,466.01, 15,697.29 and 3,446.12

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Solution

The fourth proportional to 10,466.01, 15,697.29 and 3,446.12 is: 5,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.01 : 15,697.29 = 3,446.12 : x
  2. Step 2: Convert to fraction form
    10,466.01/15,697.29 = 3,446.12/x
  3. Step 3: Cross multiply
    10,466.01x = 15,697.29 × 3,446.12
  4. Step 4: Simplify right side
    10,466.01x = 54,094,745.01
  5. Step 5: Solve for x
    x = 54,094,745.01/10,466.01
  6. Step 6: Final answer
    x = 5,168.61

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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.