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Finding the Fourth Proportional to 7,186.42, 10,780.54 and 2,806.95

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Solution

The fourth proportional to 7,186.42, 10,780.54 and 2,806.95 is: 4,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.42 : 10,780.54 = 2,806.95 : x
  2. Step 2: Convert to fraction form
    7,186.42/10,780.54 = 2,806.95/x
  3. Step 3: Cross multiply
    7,186.42x = 10,780.54 × 2,806.95
  4. Step 4: Simplify right side
    7,186.42x = 30,260,485.95
  5. Step 5: Solve for x
    x = 30,260,485.95/7,186.42
  6. Step 6: Final answer
    x = 4,210.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.