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Finding the Fourth Proportional to 11,763.65, 16,233.63 and 6,458.43

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Solution

The fourth proportional to 11,763.65, 16,233.63 and 6,458.43 is: 8,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.65 : 16,233.63 = 6,458.43 : x
  2. Step 2: Convert to fraction form
    11,763.65/16,233.63 = 6,458.43/x
  3. Step 3: Cross multiply
    11,763.65x = 16,233.63 × 6,458.43
  4. Step 4: Simplify right side
    11,763.65x = 104,843,681.83
  5. Step 5: Solve for x
    x = 104,843,681.83/11,763.65
  6. Step 6: Final answer
    x = 8,912.52

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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.