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Finding the Fourth Proportional to 11,643.86, 17,466.83 and 3,323.72

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Solution

The fourth proportional to 11,643.86, 17,466.83 and 3,323.72 is: 4,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.86 : 17,466.83 = 3,323.72 : x
  2. Step 2: Convert to fraction form
    11,643.86/17,466.83 = 3,323.72/x
  3. Step 3: Cross multiply
    11,643.86x = 17,466.83 × 3,323.72
  4. Step 4: Simplify right side
    11,643.86x = 58,054,852.21
  5. Step 5: Solve for x
    x = 58,054,852.21/11,643.86
  6. Step 6: Final answer
    x = 4,985.88

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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.