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Finding the Fourth Proportional to 11,763.42, 16,233.78 and 6,458.32

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Solution

The fourth proportional to 11,763.42, 16,233.78 and 6,458.32 is: 8,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.42 : 16,233.78 = 6,458.32 : x
  2. Step 2: Convert to fraction form
    11,763.42/16,233.78 = 6,458.32/x
  3. Step 3: Cross multiply
    11,763.42x = 16,233.78 × 6,458.32
  4. Step 4: Simplify right side
    11,763.42x = 104,842,946.05
  5. Step 5: Solve for x
    x = 104,842,946.05/11,763.42
  6. Step 6: Final answer
    x = 8,912.62

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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.