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Finding the Fourth Proportional to 11,578.50, 17,368.56 and 4,653

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Solution

The fourth proportional to 11,578.50, 17,368.56 and 4,653 is: 6,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.50 : 17,368.56 = 4,653 : x
  2. Step 2: Convert to fraction form
    11,578.50/17,368.56 = 4,653/x
  3. Step 3: Cross multiply
    11,578.50x = 17,368.56 × 4,653
  4. Step 4: Simplify right side
    11,578.50x = 80,815,909.68
  5. Step 5: Solve for x
    x = 80,815,909.68/11,578.50
  6. Step 6: Final answer
    x = 6,979.83

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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.