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Finding the Fourth Proportional to 7,858.40, 11,782.74 and 3,350.12

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Solution

The fourth proportional to 7,858.40, 11,782.74 and 3,350.12 is: 5,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.40 : 11,782.74 = 3,350.12 : x
  2. Step 2: Convert to fraction form
    7,858.40/11,782.74 = 3,350.12/x
  3. Step 3: Cross multiply
    7,858.40x = 11,782.74 × 3,350.12
  4. Step 4: Simplify right side
    7,858.40x = 39,473,592.93
  5. Step 5: Solve for x
    x = 39,473,592.93/7,858.40
  6. Step 6: Final answer
    x = 5,023.11

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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.