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Finding the Fourth Proportional to 11,700.56, 16,147.89 and 6,396.18

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Solution

The fourth proportional to 11,700.56, 16,147.89 and 6,396.18 is: 8,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.56 : 16,147.89 = 6,396.18 : x
  2. Step 2: Convert to fraction form
    11,700.56/16,147.89 = 6,396.18/x
  3. Step 3: Cross multiply
    11,700.56x = 16,147.89 × 6,396.18
  4. Step 4: Simplify right side
    11,700.56x = 103,284,811.06
  5. Step 5: Solve for x
    x = 103,284,811.06/11,700.56
  6. Step 6: Final answer
    x = 8,827.34

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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.