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Finding the Fourth Proportional to 10,180, 14,048.40 and 5,764

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Solution

The fourth proportional to 10,180, 14,048.40 and 5,764 is: 7,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180 : 14,048.40 = 5,764 : x
  2. Step 2: Convert to fraction form
    10,180/14,048.40 = 5,764/x
  3. Step 3: Cross multiply
    10,180x = 14,048.40 × 5,764
  4. Step 4: Simplify right side
    10,180x = 80,974,977.60
  5. Step 5: Solve for x
    x = 80,974,977.60/10,180
  6. Step 6: Final answer
    x = 7,954.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.