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Finding the Fourth Proportional to 28,589.67, 42,884.50 and 7,813.17

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Solution

The fourth proportional to 28,589.67, 42,884.50 and 7,813.17 is: 11,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,589.67 : 42,884.50 = 7,813.17 : x
  2. Step 2: Convert to fraction form
    28,589.67/42,884.50 = 7,813.17/x
  3. Step 3: Cross multiply
    28,589.67x = 42,884.50 × 7,813.17
  4. Step 4: Simplify right side
    28,589.67x = 335,063,674.44
  5. Step 5: Solve for x
    x = 335,063,674.44/28,589.67
  6. Step 6: Final answer
    x = 11,719.75

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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.