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Finding the Fourth Proportional to 10,751.45, 14,837.09 and 6,035.82

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Solution

The fourth proportional to 10,751.45, 14,837.09 and 6,035.82 is: 8,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.45 : 14,837.09 = 6,035.82 : x
  2. Step 2: Convert to fraction form
    10,751.45/14,837.09 = 6,035.82/x
  3. Step 3: Cross multiply
    10,751.45x = 14,837.09 × 6,035.82
  4. Step 4: Simplify right side
    10,751.45x = 89,553,974.38
  5. Step 5: Solve for x
    x = 89,553,974.38/10,751.45
  6. Step 6: Final answer
    x = 8,329.48

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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.