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Finding the Fourth Proportional to 7,668.30, 10,579.50 and 5,682.18

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Solution

The fourth proportional to 7,668.30, 10,579.50 and 5,682.18 is: 7,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.30 : 10,579.50 = 5,682.18 : x
  2. Step 2: Convert to fraction form
    7,668.30/10,579.50 = 5,682.18/x
  3. Step 3: Cross multiply
    7,668.30x = 10,579.50 × 5,682.18
  4. Step 4: Simplify right side
    7,668.30x = 60,114,623.31
  5. Step 5: Solve for x
    x = 60,114,623.31/7,668.30
  6. Step 6: Final answer
    x = 7,839.37

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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.