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Finding the Fourth Proportional to 28,556.96, 42,835.44 and 7,783.52

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Solution

The fourth proportional to 28,556.96, 42,835.44 and 7,783.52 is: 11,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.96 : 42,835.44 = 7,783.52 : x
  2. Step 2: Convert to fraction form
    28,556.96/42,835.44 = 7,783.52/x
  3. Step 3: Cross multiply
    28,556.96x = 42,835.44 × 7,783.52
  4. Step 4: Simplify right side
    28,556.96x = 333,410,503.95
  5. Step 5: Solve for x
    x = 333,410,503.95/28,556.96
  6. Step 6: Final answer
    x = 11,675.28

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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.