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Finding the Fourth Proportional to 11,670.42, 16,105.17 and 6,365.22

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Solution

The fourth proportional to 11,670.42, 16,105.17 and 6,365.22 is: 8,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.42 : 16,105.17 = 6,365.22 : x
  2. Step 2: Convert to fraction form
    11,670.42/16,105.17 = 6,365.22/x
  3. Step 3: Cross multiply
    11,670.42x = 16,105.17 × 6,365.22
  4. Step 4: Simplify right side
    11,670.42x = 102,512,950.19
  5. Step 5: Solve for x
    x = 102,512,950.19/11,670.42
  6. Step 6: Final answer
    x = 8,784.00

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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.