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Finding the Fourth Proportional to 28,664.50, 42,998.65 and 7,604.25

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Solution

The fourth proportional to 28,664.50, 42,998.65 and 7,604.25 is: 11,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,664.50 : 42,998.65 = 7,604.25 : x
  2. Step 2: Convert to fraction form
    28,664.50/42,998.65 = 7,604.25/x
  3. Step 3: Cross multiply
    28,664.50x = 42,998.65 × 7,604.25
  4. Step 4: Simplify right side
    28,664.50x = 326,972,231.25
  5. Step 5: Solve for x
    x = 326,972,231.25/28,664.50
  6. Step 6: Final answer
    x = 11,406.87

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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.