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Finding the Fourth Proportional to 11,812.73, 16,302.72 and 8,823.38

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Solution

The fourth proportional to 11,812.73, 16,302.72 and 8,823.38 is: 12,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.73 : 16,302.72 = 8,823.38 : x
  2. Step 2: Convert to fraction form
    11,812.73/16,302.72 = 8,823.38/x
  3. Step 3: Cross multiply
    11,812.73x = 16,302.72 × 8,823.38
  4. Step 4: Simplify right side
    11,812.73x = 143,845,093.59
  5. Step 5: Solve for x
    x = 143,845,093.59/11,812.73
  6. Step 6: Final answer
    x = 12,177.13

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1.5x scale

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.