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Finding the Fourth Proportional to 11,794.32, 17,693.76 and 4,002.96

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Solution

The fourth proportional to 11,794.32, 17,693.76 and 4,002.96 is: 6,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.32 : 17,693.76 = 4,002.96 : x
  2. Step 2: Convert to fraction form
    11,794.32/17,693.76 = 4,002.96/x
  3. Step 3: Cross multiply
    11,794.32x = 17,693.76 × 4,002.96
  4. Step 4: Simplify right side
    11,794.32x = 70,827,413.53
  5. Step 5: Solve for x
    x = 70,827,413.53/11,794.32
  6. Step 6: Final answer
    x = 6,005.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.