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Finding the Fourth Proportional to 11,408.49, 17,114.76 and 4,017.24

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Solution

The fourth proportional to 11,408.49, 17,114.76 and 4,017.24 is: 6,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.49 : 17,114.76 = 4,017.24 : x
  2. Step 2: Convert to fraction form
    11,408.49/17,114.76 = 4,017.24/x
  3. Step 3: Cross multiply
    11,408.49x = 17,114.76 × 4,017.24
  4. Step 4: Simplify right side
    11,408.49x = 68,754,098.46
  5. Step 5: Solve for x
    x = 68,754,098.46/11,408.49
  6. Step 6: Final answer
    x = 6,026.57

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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.