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Finding the Fourth Proportional to 11,830.99, 16,327.91 and 8,841.64

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Solution

The fourth proportional to 11,830.99, 16,327.91 and 8,841.64 is: 12,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.99 : 16,327.91 = 8,841.64 : x
  2. Step 2: Convert to fraction form
    11,830.99/16,327.91 = 8,841.64/x
  3. Step 3: Cross multiply
    11,830.99x = 16,327.91 × 8,841.64
  4. Step 4: Simplify right side
    11,830.99x = 144,365,376.32
  5. Step 5: Solve for x
    x = 144,365,376.32/11,830.99
  6. Step 6: Final answer
    x = 12,202.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.