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Finding the Fourth Proportional to 7,821, 11,727.84 and 4,535.01

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Solution

The fourth proportional to 7,821, 11,727.84 and 4,535.01 is: 6,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 11,727.84 = 4,535.01 : x
  2. Step 2: Convert to fraction form
    7,821/11,727.84 = 4,535.01/x
  3. Step 3: Cross multiply
    7,821x = 11,727.84 × 4,535.01
  4. Step 4: Simplify right side
    7,821x = 53,185,871.68
  5. Step 5: Solve for x
    x = 53,185,871.68/7,821
  6. Step 6: Final answer
    x = 6,800.39

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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.