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Finding the Fourth Proportional to 11,935.64, 16,457.16 and 9,690.44

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Solution

The fourth proportional to 11,935.64, 16,457.16 and 9,690.44 is: 13,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.64 : 16,457.16 = 9,690.44 : x
  2. Step 2: Convert to fraction form
    11,935.64/16,457.16 = 9,690.44/x
  3. Step 3: Cross multiply
    11,935.64x = 16,457.16 × 9,690.44
  4. Step 4: Simplify right side
    11,935.64x = 159,477,121.55
  5. Step 5: Solve for x
    x = 159,477,121.55/11,935.64
  6. Step 6: Final answer
    x = 13,361.42

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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.