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Finding the Fourth Proportional to 10,385.37, 14,334.84 and 7,409.84

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Solution

The fourth proportional to 10,385.37, 14,334.84 and 7,409.84 is: 10,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.37 : 14,334.84 = 7,409.84 : x
  2. Step 2: Convert to fraction form
    10,385.37/14,334.84 = 7,409.84/x
  3. Step 3: Cross multiply
    10,385.37x = 14,334.84 × 7,409.84
  4. Step 4: Simplify right side
    10,385.37x = 106,218,799.15
  5. Step 5: Solve for x
    x = 106,218,799.15/10,385.37
  6. Step 6: Final answer
    x = 10,227.73

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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.