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Finding the Fourth Proportional to 7,938.99, 11,907.31 and 2,096.01

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Solution

The fourth proportional to 7,938.99, 11,907.31 and 2,096.01 is: 3,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.99 : 11,907.31 = 2,096.01 : x
  2. Step 2: Convert to fraction form
    7,938.99/11,907.31 = 2,096.01/x
  3. Step 3: Cross multiply
    7,938.99x = 11,907.31 × 2,096.01
  4. Step 4: Simplify right side
    7,938.99x = 24,957,840.83
  5. Step 5: Solve for x
    x = 24,957,840.83/7,938.99
  6. Step 6: Final answer
    x = 3,143.70

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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.