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Finding the Fourth Proportional to 7,576.40, 11,303.74 and 6,744.80

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Solution

The fourth proportional to 7,576.40, 11,303.74 and 6,744.80 is: 10,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.40 : 11,303.74 = 6,744.80 : x
  2. Step 2: Convert to fraction form
    7,576.40/11,303.74 = 6,744.80/x
  3. Step 3: Cross multiply
    7,576.40x = 11,303.74 × 6,744.80
  4. Step 4: Simplify right side
    7,576.40x = 76,241,465.55
  5. Step 5: Solve for x
    x = 76,241,465.55/7,576.40
  6. Step 6: Final answer
    x = 10,063.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.