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Finding the Fourth Proportional to 11,763.32, 16,233.28 and 6,458.36

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Solution

The fourth proportional to 11,763.32, 16,233.28 and 6,458.36 is: 8,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.32 : 16,233.28 = 6,458.36 : x
  2. Step 2: Convert to fraction form
    11,763.32/16,233.28 = 6,458.36/x
  3. Step 3: Cross multiply
    11,763.32x = 16,233.28 × 6,458.36
  4. Step 4: Simplify right side
    11,763.32x = 104,840,366.22
  5. Step 5: Solve for x
    x = 104,840,366.22/11,763.32
  6. Step 6: Final answer
    x = 8,912.48

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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.