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Finding the Fourth Proportional to 11,771.68, 16,244.93 and 6,466.84

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Solution

The fourth proportional to 11,771.68, 16,244.93 and 6,466.84 is: 8,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.68 : 16,244.93 = 6,466.84 : x
  2. Step 2: Convert to fraction form
    11,771.68/16,244.93 = 6,466.84/x
  3. Step 3: Cross multiply
    11,771.68x = 16,244.93 × 6,466.84
  4. Step 4: Simplify right side
    11,771.68x = 105,053,363.12
  5. Step 5: Solve for x
    x = 105,053,363.12/11,771.68
  6. Step 6: Final answer
    x = 8,924.25

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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.