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Finding the Fourth Proportional to 11,763.47, 16,233.73 and 6,458.18

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Solution

The fourth proportional to 11,763.47, 16,233.73 and 6,458.18 is: 8,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.47 : 16,233.73 = 6,458.18 : x
  2. Step 2: Convert to fraction form
    11,763.47/16,233.73 = 6,458.18/x
  3. Step 3: Cross multiply
    11,763.47x = 16,233.73 × 6,458.18
  4. Step 4: Simplify right side
    11,763.47x = 104,840,253.10
  5. Step 5: Solve for x
    x = 104,840,253.10/11,763.47
  6. Step 6: Final answer
    x = 8,912.36

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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.