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Finding the Fourth Proportional to 7,762.30, 11,636.43 and 2,830.79

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Solution

The fourth proportional to 7,762.30, 11,636.43 and 2,830.79 is: 4,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.30 : 11,636.43 = 2,830.79 : x
  2. Step 2: Convert to fraction form
    7,762.30/11,636.43 = 2,830.79/x
  3. Step 3: Cross multiply
    7,762.30x = 11,636.43 × 2,830.79
  4. Step 4: Simplify right side
    7,762.30x = 32,940,289.68
  5. Step 5: Solve for x
    x = 32,940,289.68/7,762.30
  6. Step 6: Final answer
    x = 4,243.62

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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.