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Finding the Fourth Proportional to 7,628.72, 10,523.64 and 5,762.48

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Solution

The fourth proportional to 7,628.72, 10,523.64 and 5,762.48 is: 7,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.72 : 10,523.64 = 5,762.48 : x
  2. Step 2: Convert to fraction form
    7,628.72/10,523.64 = 5,762.48/x
  3. Step 3: Cross multiply
    7,628.72x = 10,523.64 × 5,762.48
  4. Step 4: Simplify right side
    7,628.72x = 60,642,265.03
  5. Step 5: Solve for x
    x = 60,642,265.03/7,628.72
  6. Step 6: Final answer
    x = 7,949.21

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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.