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Finding the Fourth Proportional to 10,338, 14,266.44 and 5,622.38

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Solution

The fourth proportional to 10,338, 14,266.44 and 5,622.38 is: 7,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338 : 14,266.44 = 5,622.38 : x
  2. Step 2: Convert to fraction form
    10,338/14,266.44 = 5,622.38/x
  3. Step 3: Cross multiply
    10,338x = 14,266.44 × 5,622.38
  4. Step 4: Simplify right side
    10,338x = 80,211,382.59
  5. Step 5: Solve for x
    x = 80,211,382.59/10,338
  6. Step 6: Final answer
    x = 7,758.89

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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.