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Finding the Fourth Proportional to 12,036.95, 16,605.38 and 7,789.37

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Solution

The fourth proportional to 12,036.95, 16,605.38 and 7,789.37 is: 10,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.95 : 16,605.38 = 7,789.37 : x
  2. Step 2: Convert to fraction form
    12,036.95/16,605.38 = 7,789.37/x
  3. Step 3: Cross multiply
    12,036.95x = 16,605.38 × 7,789.37
  4. Step 4: Simplify right side
    12,036.95x = 129,345,326.84
  5. Step 5: Solve for x
    x = 129,345,326.84/12,036.95
  6. Step 6: Final answer
    x = 10,745.69

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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.