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Finding the Fourth Proportional to 7,865.54, 11,806.50 and 3,486.07

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Solution

The fourth proportional to 7,865.54, 11,806.50 and 3,486.07 is: 5,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.54 : 11,806.50 = 3,486.07 : x
  2. Step 2: Convert to fraction form
    7,865.54/11,806.50 = 3,486.07/x
  3. Step 3: Cross multiply
    7,865.54x = 11,806.50 × 3,486.07
  4. Step 4: Simplify right side
    7,865.54x = 41,158,285.46
  5. Step 5: Solve for x
    x = 41,158,285.46/7,865.54
  6. Step 6: Final answer
    x = 5,232.73

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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.