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Finding the Fourth Proportional to 7,687.28, 10,604.76 and 5,033.52

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Solution

The fourth proportional to 7,687.28, 10,604.76 and 5,033.52 is: 6,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.28 : 10,604.76 = 5,033.52 : x
  2. Step 2: Convert to fraction form
    7,687.28/10,604.76 = 5,033.52/x
  3. Step 3: Cross multiply
    7,687.28x = 10,604.76 × 5,033.52
  4. Step 4: Simplify right side
    7,687.28x = 53,379,271.56
  5. Step 5: Solve for x
    x = 53,379,271.56/7,687.28
  6. Step 6: Final answer
    x = 6,943.84

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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.