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Finding the Fourth Proportional to 7,164.66, 10,744.42 and 2,483.40

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Solution

The fourth proportional to 7,164.66, 10,744.42 and 2,483.40 is: 3,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.66 : 10,744.42 = 2,483.40 : x
  2. Step 2: Convert to fraction form
    7,164.66/10,744.42 = 2,483.40/x
  3. Step 3: Cross multiply
    7,164.66x = 10,744.42 × 2,483.40
  4. Step 4: Simplify right side
    7,164.66x = 26,682,692.63
  5. Step 5: Solve for x
    x = 26,682,692.63/7,164.66
  6. Step 6: Final answer
    x = 3,724.21

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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.