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Finding the Fourth Proportional to 11,670.86, 16,105.64 and 6,365.72

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Solution

The fourth proportional to 11,670.86, 16,105.64 and 6,365.72 is: 8,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.86 : 16,105.64 = 6,365.72 : x
  2. Step 2: Convert to fraction form
    11,670.86/16,105.64 = 6,365.72/x
  3. Step 3: Cross multiply
    11,670.86x = 16,105.64 × 6,365.72
  4. Step 4: Simplify right side
    11,670.86x = 102,523,994.66
  5. Step 5: Solve for x
    x = 102,523,994.66/11,670.86
  6. Step 6: Final answer
    x = 8,784.61

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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.