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Finding the Fourth Proportional to 8,596.59, 11,774.40 and 8,092.23

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Solution

The fourth proportional to 8,596.59, 11,774.40 and 8,092.23 is: 11,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.59 : 11,774.40 = 8,092.23 : x
  2. Step 2: Convert to fraction form
    8,596.59/11,774.40 = 8,092.23/x
  3. Step 3: Cross multiply
    8,596.59x = 11,774.40 × 8,092.23
  4. Step 4: Simplify right side
    8,596.59x = 95,281,152.91
  5. Step 5: Solve for x
    x = 95,281,152.91/8,596.59
  6. Step 6: Final answer
    x = 11,083.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.