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Finding the Fourth Proportional to 11,408.27, 17,099.84 and 7,457.90

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Solution

The fourth proportional to 11,408.27, 17,099.84 and 7,457.90 is: 11,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.27 : 17,099.84 = 7,457.90 : x
  2. Step 2: Convert to fraction form
    11,408.27/17,099.84 = 7,457.90/x
  3. Step 3: Cross multiply
    11,408.27x = 17,099.84 × 7,457.90
  4. Step 4: Simplify right side
    11,408.27x = 127,528,829.88
  5. Step 5: Solve for x
    x = 127,528,829.88/11,408.27
  6. Step 6: Final answer
    x = 11,178.63

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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.