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Finding the Fourth Proportional to 7,907.76, 11,862.75 and 2,362.80

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Solution

The fourth proportional to 7,907.76, 11,862.75 and 2,362.80 is: 3,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.76 : 11,862.75 = 2,362.80 : x
  2. Step 2: Convert to fraction form
    7,907.76/11,862.75 = 2,362.80/x
  3. Step 3: Cross multiply
    7,907.76x = 11,862.75 × 2,362.80
  4. Step 4: Simplify right side
    7,907.76x = 28,029,359.05
  5. Step 5: Solve for x
    x = 28,029,359.05/7,907.76
  6. Step 6: Final answer
    x = 3,544.54

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Why These Related Problems?

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