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Finding the Fourth Proportional to 10,077.44, 13,907.02 and 5,601.38

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Solution

The fourth proportional to 10,077.44, 13,907.02 and 5,601.38 is: 7,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.44 : 13,907.02 = 5,601.38 : x
  2. Step 2: Convert to fraction form
    10,077.44/13,907.02 = 5,601.38/x
  3. Step 3: Cross multiply
    10,077.44x = 13,907.02 × 5,601.38
  4. Step 4: Simplify right side
    10,077.44x = 77,898,503.69
  5. Step 5: Solve for x
    x = 77,898,503.69/10,077.44
  6. Step 6: Final answer
    x = 7,729.99

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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.