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Finding the Fourth Proportional to 7,182, 10,767.83 and 4,836.20

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Solution

The fourth proportional to 7,182, 10,767.83 and 4,836.20 is: 7,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182 : 10,767.83 = 4,836.20 : x
  2. Step 2: Convert to fraction form
    7,182/10,767.83 = 4,836.20/x
  3. Step 3: Cross multiply
    7,182x = 10,767.83 × 4,836.20
  4. Step 4: Simplify right side
    7,182x = 52,075,301.43
  5. Step 5: Solve for x
    x = 52,075,301.43/7,182
  6. Step 6: Final answer
    x = 7,250.81

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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.