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Finding the Fourth Proportional to 11,596.12, 16,113.65 and 11,475.70

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Solution

The fourth proportional to 11,596.12, 16,113.65 and 11,475.70 is: 15,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.12 : 16,113.65 = 11,475.70 : x
  2. Step 2: Convert to fraction form
    11,596.12/16,113.65 = 11,475.70/x
  3. Step 3: Cross multiply
    11,596.12x = 16,113.65 × 11,475.70
  4. Step 4: Simplify right side
    11,596.12x = 184,915,413.31
  5. Step 5: Solve for x
    x = 184,915,413.31/11,596.12
  6. Step 6: Final answer
    x = 15,946.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.