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Finding the Fourth Proportional to 11,897.77, 17,843.47 and 3,575.94

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Solution

The fourth proportional to 11,897.77, 17,843.47 and 3,575.94 is: 5,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.77 : 17,843.47 = 3,575.94 : x
  2. Step 2: Convert to fraction form
    11,897.77/17,843.47 = 3,575.94/x
  3. Step 3: Cross multiply
    11,897.77x = 17,843.47 × 3,575.94
  4. Step 4: Simplify right side
    11,897.77x = 63,807,178.11
  5. Step 5: Solve for x
    x = 63,807,178.11/11,897.77
  6. Step 6: Final answer
    x = 5,362.95

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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.