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Finding the Fourth Proportional to 10,409.40, 15,622.31 and 3,840.20

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Solution

The fourth proportional to 10,409.40, 15,622.31 and 3,840.20 is: 5,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.40 : 15,622.31 = 3,840.20 : x
  2. Step 2: Convert to fraction form
    10,409.40/15,622.31 = 3,840.20/x
  3. Step 3: Cross multiply
    10,409.40x = 15,622.31 × 3,840.20
  4. Step 4: Simplify right side
    10,409.40x = 59,992,784.93
  5. Step 5: Solve for x
    x = 59,992,784.93/10,409.40
  6. Step 6: Final answer
    x = 5,763.33

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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.