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Finding the Fourth Proportional to 11,857.45, 16,362.59 and 6,478.82

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Solution

The fourth proportional to 11,857.45, 16,362.59 and 6,478.82 is: 8,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.45 : 16,362.59 = 6,478.82 : x
  2. Step 2: Convert to fraction form
    11,857.45/16,362.59 = 6,478.82/x
  3. Step 3: Cross multiply
    11,857.45x = 16,362.59 × 6,478.82
  4. Step 4: Simplify right side
    11,857.45x = 106,010,275.34
  5. Step 5: Solve for x
    x = 106,010,275.34/11,857.45
  6. Step 6: Final answer
    x = 8,940.39

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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.