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Finding the Fourth Proportional to 10,893.78, 15,033.24 and 6,113.76

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Solution

The fourth proportional to 10,893.78, 15,033.24 and 6,113.76 is: 8,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.78 : 15,033.24 = 6,113.76 : x
  2. Step 2: Convert to fraction form
    10,893.78/15,033.24 = 6,113.76/x
  3. Step 3: Cross multiply
    10,893.78x = 15,033.24 × 6,113.76
  4. Step 4: Simplify right side
    10,893.78x = 91,909,621.38
  5. Step 5: Solve for x
    x = 91,909,621.38/10,893.78
  6. Step 6: Final answer
    x = 8,436.89

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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.