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Finding the Fourth Proportional to 11,603.41, 16,012.72 and 6,298.23

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Solution

The fourth proportional to 11,603.41, 16,012.72 and 6,298.23 is: 8,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.41 : 16,012.72 = 6,298.23 : x
  2. Step 2: Convert to fraction form
    11,603.41/16,012.72 = 6,298.23/x
  3. Step 3: Cross multiply
    11,603.41x = 16,012.72 × 6,298.23
  4. Step 4: Simplify right side
    11,603.41x = 100,851,793.49
  5. Step 5: Solve for x
    x = 100,851,793.49/11,603.41
  6. Step 6: Final answer
    x = 8,691.57

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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.