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Finding the Fourth Proportional to 7,644.15, 11,465 and 2,096.21

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Solution

The fourth proportional to 7,644.15, 11,465 and 2,096.21 is: 3,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.15 : 11,465 = 2,096.21 : x
  2. Step 2: Convert to fraction form
    7,644.15/11,465 = 2,096.21/x
  3. Step 3: Cross multiply
    7,644.15x = 11,465 × 2,096.21
  4. Step 4: Simplify right side
    7,644.15x = 24,033,047.65
  5. Step 5: Solve for x
    x = 24,033,047.65/7,644.15
  6. Step 6: Final answer
    x = 3,143.98

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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.