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Finding the Fourth Proportional to 11,067.30, 15,256.83 and 7,918.02

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Solution

The fourth proportional to 11,067.30, 15,256.83 and 7,918.02 is: 10,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067.30 : 15,256.83 = 7,918.02 : x
  2. Step 2: Convert to fraction form
    11,067.30/15,256.83 = 7,918.02/x
  3. Step 3: Cross multiply
    11,067.30x = 15,256.83 × 7,918.02
  4. Step 4: Simplify right side
    11,067.30x = 120,803,885.08
  5. Step 5: Solve for x
    x = 120,803,885.08/11,067.30
  6. Step 6: Final answer
    x = 10,915.39

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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.