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Finding the Fourth Proportional to 12,880.46, 17,777.67 and 7,292.54

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Solution

The fourth proportional to 12,880.46, 17,777.67 and 7,292.54 is: 10,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.46 : 17,777.67 = 7,292.54 : x
  2. Step 2: Convert to fraction form
    12,880.46/17,777.67 = 7,292.54/x
  3. Step 3: Cross multiply
    12,880.46x = 17,777.67 × 7,292.54
  4. Step 4: Simplify right side
    12,880.46x = 129,644,369.58
  5. Step 5: Solve for x
    x = 129,644,369.58/12,880.46
  6. Step 6: Final answer
    x = 10,065.20

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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.