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Finding the Fourth Proportional to 7,730.87, 11,597.22 and 2,464.05

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Solution

The fourth proportional to 7,730.87, 11,597.22 and 2,464.05 is: 3,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.87 : 11,597.22 = 2,464.05 : x
  2. Step 2: Convert to fraction form
    7,730.87/11,597.22 = 2,464.05/x
  3. Step 3: Cross multiply
    7,730.87x = 11,597.22 × 2,464.05
  4. Step 4: Simplify right side
    7,730.87x = 28,576,129.94
  5. Step 5: Solve for x
    x = 28,576,129.94/7,730.87
  6. Step 6: Final answer
    x = 3,696.37

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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.