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Finding the Fourth Proportional to 7,645.33, 11,465.92 and 2,097.37

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Solution

The fourth proportional to 7,645.33, 11,465.92 and 2,097.37 is: 3,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.33 : 11,465.92 = 2,097.37 : x
  2. Step 2: Convert to fraction form
    7,645.33/11,465.92 = 2,097.37/x
  3. Step 3: Cross multiply
    7,645.33x = 11,465.92 × 2,097.37
  4. Step 4: Simplify right side
    7,645.33x = 24,048,227.17
  5. Step 5: Solve for x
    x = 24,048,227.17/7,645.33
  6. Step 6: Final answer
    x = 3,145.48

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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.