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Finding the Fourth Proportional to 10,904.63, 15,048.38 and 5,936.63

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Solution

The fourth proportional to 10,904.63, 15,048.38 and 5,936.63 is: 8,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.63 : 15,048.38 = 5,936.63 : x
  2. Step 2: Convert to fraction form
    10,904.63/15,048.38 = 5,936.63/x
  3. Step 3: Cross multiply
    10,904.63x = 15,048.38 × 5,936.63
  4. Step 4: Simplify right side
    10,904.63x = 89,336,603.76
  5. Step 5: Solve for x
    x = 89,336,603.76/10,904.63
  6. Step 6: Final answer
    x = 8,192.54

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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.