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Finding the Fourth Proportional to 11,949.78, 16,492.54 and 8,603.66

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Solution

The fourth proportional to 11,949.78, 16,492.54 and 8,603.66 is: 11,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.78 : 16,492.54 = 8,603.66 : x
  2. Step 2: Convert to fraction form
    11,949.78/16,492.54 = 8,603.66/x
  3. Step 3: Cross multiply
    11,949.78x = 16,492.54 × 8,603.66
  4. Step 4: Simplify right side
    11,949.78x = 141,896,206.70
  5. Step 5: Solve for x
    x = 141,896,206.70/11,949.78
  6. Step 6: Final answer
    x = 11,874.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.