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Finding the Fourth Proportional to 6,536.21, 9,805.53 and 2,153.84

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Solution

The fourth proportional to 6,536.21, 9,805.53 and 2,153.84 is: 3,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.21 : 9,805.53 = 2,153.84 : x
  2. Step 2: Convert to fraction form
    6,536.21/9,805.53 = 2,153.84/x
  3. Step 3: Cross multiply
    6,536.21x = 9,805.53 × 2,153.84
  4. Step 4: Simplify right side
    6,536.21x = 21,119,542.74
  5. Step 5: Solve for x
    x = 21,119,542.74/6,536.21
  6. Step 6: Final answer
    x = 3,231.16

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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.