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Finding the Fourth Proportional to 11,793, 17,692.38 and 3,585

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Solution

The fourth proportional to 11,793, 17,692.38 and 3,585 is: 5,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793 : 17,692.38 = 3,585 : x
  2. Step 2: Convert to fraction form
    11,793/17,692.38 = 3,585/x
  3. Step 3: Cross multiply
    11,793x = 17,692.38 × 3,585
  4. Step 4: Simplify right side
    11,793x = 63,427,182.30
  5. Step 5: Solve for x
    x = 63,427,182.30/11,793
  6. Step 6: Final answer
    x = 5,378.38

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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.