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Finding the Fourth Proportional to 7,790.87, 11,689.73 and 4,092.24

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Solution

The fourth proportional to 7,790.87, 11,689.73 and 4,092.24 is: 6,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.87 : 11,689.73 = 4,092.24 : x
  2. Step 2: Convert to fraction form
    7,790.87/11,689.73 = 4,092.24/x
  3. Step 3: Cross multiply
    7,790.87x = 11,689.73 × 4,092.24
  4. Step 4: Simplify right side
    7,790.87x = 47,837,180.70
  5. Step 5: Solve for x
    x = 47,837,180.70/7,790.87
  6. Step 6: Final answer
    x = 6,140.16

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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.