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Finding the Fourth Proportional to 7,830.68, 10,797.90 and 5,945.72

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Solution

The fourth proportional to 7,830.68, 10,797.90 and 5,945.72 is: 8,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.68 : 10,797.90 = 5,945.72 : x
  2. Step 2: Convert to fraction form
    7,830.68/10,797.90 = 5,945.72/x
  3. Step 3: Cross multiply
    7,830.68x = 10,797.90 × 5,945.72
  4. Step 4: Simplify right side
    7,830.68x = 64,201,289.99
  5. Step 5: Solve for x
    x = 64,201,289.99/7,830.68
  6. Step 6: Final answer
    x = 8,198.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.