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Finding the Fourth Proportional to 7,441.76, 10,270.57 and 4,297.94

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Solution

The fourth proportional to 7,441.76, 10,270.57 and 4,297.94 is: 5,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.76 : 10,270.57 = 4,297.94 : x
  2. Step 2: Convert to fraction form
    7,441.76/10,270.57 = 4,297.94/x
  3. Step 3: Cross multiply
    7,441.76x = 10,270.57 × 4,297.94
  4. Step 4: Simplify right side
    7,441.76x = 44,142,347.96
  5. Step 5: Solve for x
    x = 44,142,347.96/7,441.76
  6. Step 6: Final answer
    x = 5,931.71

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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.