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Finding the Fourth Proportional to 10,921.78, 15,072.06 and 6,206.06

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Solution

The fourth proportional to 10,921.78, 15,072.06 and 6,206.06 is: 8,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.78 : 15,072.06 = 6,206.06 : x
  2. Step 2: Convert to fraction form
    10,921.78/15,072.06 = 6,206.06/x
  3. Step 3: Cross multiply
    10,921.78x = 15,072.06 × 6,206.06
  4. Step 4: Simplify right side
    10,921.78x = 93,538,169.64
  5. Step 5: Solve for x
    x = 93,538,169.64/10,921.78
  6. Step 6: Final answer
    x = 8,564.37

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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.