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Finding the Fourth Proportional to 10,604.78, 15,896.79 and 5,927.06

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Solution

The fourth proportional to 10,604.78, 15,896.79 and 5,927.06 is: 8,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.78 : 15,896.79 = 5,927.06 : x
  2. Step 2: Convert to fraction form
    10,604.78/15,896.79 = 5,927.06/x
  3. Step 3: Cross multiply
    10,604.78x = 15,896.79 × 5,927.06
  4. Step 4: Simplify right side
    10,604.78x = 94,221,228.14
  5. Step 5: Solve for x
    x = 94,221,228.14/10,604.78
  6. Step 6: Final answer
    x = 8,884.79

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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.