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Finding the Fourth Proportional to 11,761.32, 16,231.64 and 6,457.20

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Solution

The fourth proportional to 11,761.32, 16,231.64 and 6,457.20 is: 8,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.32 : 16,231.64 = 6,457.20 : x
  2. Step 2: Convert to fraction form
    11,761.32/16,231.64 = 6,457.20/x
  3. Step 3: Cross multiply
    11,761.32x = 16,231.64 × 6,457.20
  4. Step 4: Simplify right side
    11,761.32x = 104,810,945.81
  5. Step 5: Solve for x
    x = 104,810,945.81/11,761.32
  6. Step 6: Final answer
    x = 8,911.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.