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Finding the Fourth Proportional to 11,763.80, 16,233.54 and 6,458.30

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Solution

The fourth proportional to 11,763.80, 16,233.54 and 6,458.30 is: 8,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.80 : 16,233.54 = 6,458.30 : x
  2. Step 2: Convert to fraction form
    11,763.80/16,233.54 = 6,458.30/x
  3. Step 3: Cross multiply
    11,763.80x = 16,233.54 × 6,458.30
  4. Step 4: Simplify right side
    11,763.80x = 104,841,071.38
  5. Step 5: Solve for x
    x = 104,841,071.38/11,763.80
  6. Step 6: Final answer
    x = 8,912.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.