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Finding the Fourth Proportional to 10,378.20, 14,321.94 and 5,901.84

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Solution

The fourth proportional to 10,378.20, 14,321.94 and 5,901.84 is: 8,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.20 : 14,321.94 = 5,901.84 : x
  2. Step 2: Convert to fraction form
    10,378.20/14,321.94 = 5,901.84/x
  3. Step 3: Cross multiply
    10,378.20x = 14,321.94 × 5,901.84
  4. Step 4: Simplify right side
    10,378.20x = 84,525,798.37
  5. Step 5: Solve for x
    x = 84,525,798.37/10,378.20
  6. Step 6: Final answer
    x = 8,144.55

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