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Finding the Fourth Proportional to 11,408.49, 15,751.13 and 10,211.40

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Solution

The fourth proportional to 11,408.49, 15,751.13 and 10,211.40 is: 14,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.49 : 15,751.13 = 10,211.40 : x
  2. Step 2: Convert to fraction form
    11,408.49/15,751.13 = 10,211.40/x
  3. Step 3: Cross multiply
    11,408.49x = 15,751.13 × 10,211.40
  4. Step 4: Simplify right side
    11,408.49x = 160,841,037.83
  5. Step 5: Solve for x
    x = 160,841,037.83/11,408.49
  6. Step 6: Final answer
    x = 14,098.36

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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.