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Finding the Fourth Proportional to 12,264.56, 16,922.76 and 7,789.04

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Solution

The fourth proportional to 12,264.56, 16,922.76 and 7,789.04 is: 10,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.56 : 16,922.76 = 7,789.04 : x
  2. Step 2: Convert to fraction form
    12,264.56/16,922.76 = 7,789.04/x
  3. Step 3: Cross multiply
    12,264.56x = 16,922.76 × 7,789.04
  4. Step 4: Simplify right side
    12,264.56x = 131,812,054.55
  5. Step 5: Solve for x
    x = 131,812,054.55/12,264.56
  6. Step 6: Final answer
    x = 10,747.39

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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.