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Finding the Fourth Proportional to 11,705.35, 16,151.62 and 6,600.64

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Solution

The fourth proportional to 11,705.35, 16,151.62 and 6,600.64 is: 9,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.35 : 16,151.62 = 6,600.64 : x
  2. Step 2: Convert to fraction form
    11,705.35/16,151.62 = 6,600.64/x
  3. Step 3: Cross multiply
    11,705.35x = 16,151.62 × 6,600.64
  4. Step 4: Simplify right side
    11,705.35x = 106,611,028.74
  5. Step 5: Solve for x
    x = 106,611,028.74/11,705.35
  6. Step 6: Final answer
    x = 9,107.89

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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.