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Finding the Fourth Proportional to 10,971.32, 16,457.01 and 2,651.32

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Solution

The fourth proportional to 10,971.32, 16,457.01 and 2,651.32 is: 3,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.32 : 16,457.01 = 2,651.32 : x
  2. Step 2: Convert to fraction form
    10,971.32/16,457.01 = 2,651.32/x
  3. Step 3: Cross multiply
    10,971.32x = 16,457.01 × 2,651.32
  4. Step 4: Simplify right side
    10,971.32x = 43,632,768.55
  5. Step 5: Solve for x
    x = 43,632,768.55/10,971.32
  6. Step 6: Final answer
    x = 3,976.99

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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.