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Finding the Fourth Proportional to 10,409.70, 14,364.36 and 5,933.34

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Solution

The fourth proportional to 10,409.70, 14,364.36 and 5,933.34 is: 8,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.70 : 14,364.36 = 5,933.34 : x
  2. Step 2: Convert to fraction form
    10,409.70/14,364.36 = 5,933.34/x
  3. Step 3: Cross multiply
    10,409.70x = 14,364.36 × 5,933.34
  4. Step 4: Simplify right side
    10,409.70x = 85,228,631.76
  5. Step 5: Solve for x
    x = 85,228,631.76/10,409.70
  6. Step 6: Final answer
    x = 8,187.42

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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.