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Finding the Fourth Proportional to 7,847.99, 10,830.18 and 4,262.92

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Solution

The fourth proportional to 7,847.99, 10,830.18 and 4,262.92 is: 5,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.99 : 10,830.18 = 4,262.92 : x
  2. Step 2: Convert to fraction form
    7,847.99/10,830.18 = 4,262.92/x
  3. Step 3: Cross multiply
    7,847.99x = 10,830.18 × 4,262.92
  4. Step 4: Simplify right side
    7,847.99x = 46,168,179.84
  5. Step 5: Solve for x
    x = 46,168,179.84/7,847.99
  6. Step 6: Final answer
    x = 5,882.80

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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.