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Finding the Fourth Proportional to 11,172.94, 15,418.65 and 6,457.22

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Solution

The fourth proportional to 11,172.94, 15,418.65 and 6,457.22 is: 8,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.94 : 15,418.65 = 6,457.22 : x
  2. Step 2: Convert to fraction form
    11,172.94/15,418.65 = 6,457.22/x
  3. Step 3: Cross multiply
    11,172.94x = 15,418.65 × 6,457.22
  4. Step 4: Simplify right side
    11,172.94x = 99,561,620.09
  5. Step 5: Solve for x
    x = 99,561,620.09/11,172.94
  6. Step 6: Final answer
    x = 8,910.96

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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.