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Finding the Fourth Proportional to 11,753.20, 16,205.16 and 8,603.92

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Solution

The fourth proportional to 11,753.20, 16,205.16 and 8,603.92 is: 11,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.20 : 16,205.16 = 8,603.92 : x
  2. Step 2: Convert to fraction form
    11,753.20/16,205.16 = 8,603.92/x
  3. Step 3: Cross multiply
    11,753.20x = 16,205.16 × 8,603.92
  4. Step 4: Simplify right side
    11,753.20x = 139,427,900.23
  5. Step 5: Solve for x
    x = 139,427,900.23/11,753.20
  6. Step 6: Final answer
    x = 11,862.97

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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.