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Finding the Fourth Proportional to 10,401.94, 15,603.11 and 4,853.78

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Solution

The fourth proportional to 10,401.94, 15,603.11 and 4,853.78 is: 7,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.94 : 15,603.11 = 4,853.78 : x
  2. Step 2: Convert to fraction form
    10,401.94/15,603.11 = 4,853.78/x
  3. Step 3: Cross multiply
    10,401.94x = 15,603.11 × 4,853.78
  4. Step 4: Simplify right side
    10,401.94x = 75,734,063.26
  5. Step 5: Solve for x
    x = 75,734,063.26/10,401.94
  6. Step 6: Final answer
    x = 7,280.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.