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Finding the Fourth Proportional to 7,643.76, 11,465.97 and 2,096.97

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Solution

The fourth proportional to 7,643.76, 11,465.97 and 2,096.97 is: 3,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.76 : 11,465.97 = 2,096.97 : x
  2. Step 2: Convert to fraction form
    7,643.76/11,465.97 = 2,096.97/x
  3. Step 3: Cross multiply
    7,643.76x = 11,465.97 × 2,096.97
  4. Step 4: Simplify right side
    7,643.76x = 24,043,795.11
  5. Step 5: Solve for x
    x = 24,043,795.11/7,643.76
  6. Step 6: Final answer
    x = 3,145.55

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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.