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Finding the Fourth Proportional to 11,954.76, 17,916.54 and 4,926.75

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Solution

The fourth proportional to 11,954.76, 17,916.54 and 4,926.75 is: 7,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.76 : 17,916.54 = 4,926.75 : x
  2. Step 2: Convert to fraction form
    11,954.76/17,916.54 = 4,926.75/x
  3. Step 3: Cross multiply
    11,954.76x = 17,916.54 × 4,926.75
  4. Step 4: Simplify right side
    11,954.76x = 88,270,305.89
  5. Step 5: Solve for x
    x = 88,270,305.89/11,954.76
  6. Step 6: Final answer
    x = 7,383.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.