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Finding the Fourth Proportional to 6,762.21, 10,142.97 and 2,379.70

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Solution

The fourth proportional to 6,762.21, 10,142.97 and 2,379.70 is: 3,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.21 : 10,142.97 = 2,379.70 : x
  2. Step 2: Convert to fraction form
    6,762.21/10,142.97 = 2,379.70/x
  3. Step 3: Cross multiply
    6,762.21x = 10,142.97 × 2,379.70
  4. Step 4: Simplify right side
    6,762.21x = 24,137,225.71
  5. Step 5: Solve for x
    x = 24,137,225.71/6,762.21
  6. Step 6: Final answer
    x = 3,569.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.