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Finding the Fourth Proportional to 10,409.37, 15,606.73 and 3,834.70

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Solution

The fourth proportional to 10,409.37, 15,606.73 and 3,834.70 is: 5,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.37 : 15,606.73 = 3,834.70 : x
  2. Step 2: Convert to fraction form
    10,409.37/15,606.73 = 3,834.70/x
  3. Step 3: Cross multiply
    10,409.37x = 15,606.73 × 3,834.70
  4. Step 4: Simplify right side
    10,409.37x = 59,847,127.53
  5. Step 5: Solve for x
    x = 59,847,127.53/10,409.37
  6. Step 6: Final answer
    x = 5,749.35

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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.