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Finding the Fourth Proportional to 28,683.20, 43,021.56 and 7,904

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Solution

The fourth proportional to 28,683.20, 43,021.56 and 7,904 is: 11,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,683.20 : 43,021.56 = 7,904 : x
  2. Step 2: Convert to fraction form
    28,683.20/43,021.56 = 7,904/x
  3. Step 3: Cross multiply
    28,683.20x = 43,021.56 × 7,904
  4. Step 4: Simplify right side
    28,683.20x = 340,042,410.24
  5. Step 5: Solve for x
    x = 340,042,410.24/28,683.20
  6. Step 6: Final answer
    x = 11,855.11

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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.