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Finding the Fourth Proportional to 11,670.84, 16,105.74 and 6,365.61

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Solution

The fourth proportional to 11,670.84, 16,105.74 and 6,365.61 is: 8,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.84 : 16,105.74 = 6,365.61 : x
  2. Step 2: Convert to fraction form
    11,670.84/16,105.74 = 6,365.61/x
  3. Step 3: Cross multiply
    11,670.84x = 16,105.74 × 6,365.61
  4. Step 4: Simplify right side
    11,670.84x = 102,522,859.60
  5. Step 5: Solve for x
    x = 102,522,859.60/11,670.84
  6. Step 6: Final answer
    x = 8,784.53

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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.