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Finding the Fourth Proportional to 11,961.30, 16,512.58 and 9,266.52

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Solution

The fourth proportional to 11,961.30, 16,512.58 and 9,266.52 is: 12,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.30 : 16,512.58 = 9,266.52 : x
  2. Step 2: Convert to fraction form
    11,961.30/16,512.58 = 9,266.52/x
  3. Step 3: Cross multiply
    11,961.30x = 16,512.58 × 9,266.52
  4. Step 4: Simplify right side
    11,961.30x = 153,014,152.82
  5. Step 5: Solve for x
    x = 153,014,152.82/11,961.30
  6. Step 6: Final answer
    x = 12,792.44

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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.