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Finding the Fourth Proportional to 11,283.88, 16,932.54 and 4,709.80

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Solution

The fourth proportional to 11,283.88, 16,932.54 and 4,709.80 is: 7,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.88 : 16,932.54 = 4,709.80 : x
  2. Step 2: Convert to fraction form
    11,283.88/16,932.54 = 4,709.80/x
  3. Step 3: Cross multiply
    11,283.88x = 16,932.54 × 4,709.80
  4. Step 4: Simplify right side
    11,283.88x = 79,748,876.89
  5. Step 5: Solve for x
    x = 79,748,876.89/11,283.88
  6. Step 6: Final answer
    x = 7,067.50

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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.