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Finding the Fourth Proportional to 7,491, 10,337.64 and 4,133.94

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Solution

The fourth proportional to 7,491, 10,337.64 and 4,133.94 is: 5,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491 : 10,337.64 = 4,133.94 : x
  2. Step 2: Convert to fraction form
    7,491/10,337.64 = 4,133.94/x
  3. Step 3: Cross multiply
    7,491x = 10,337.64 × 4,133.94
  4. Step 4: Simplify right side
    7,491x = 42,735,183.50
  5. Step 5: Solve for x
    x = 42,735,183.50/7,491
  6. Step 6: Final answer
    x = 5,704.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.