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Finding the Fourth Proportional to 6,536.05, 9,805.73 and 1,856.07

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Solution

The fourth proportional to 6,536.05, 9,805.73 and 1,856.07 is: 2,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.05 : 9,805.73 = 1,856.07 : x
  2. Step 2: Convert to fraction form
    6,536.05/9,805.73 = 1,856.07/x
  3. Step 3: Cross multiply
    6,536.05x = 9,805.73 × 1,856.07
  4. Step 4: Simplify right side
    6,536.05x = 18,200,121.28
  5. Step 5: Solve for x
    x = 18,200,121.28/6,536.05
  6. Step 6: Final answer
    x = 2,784.57

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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.