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Finding the Fourth Proportional to 6,874.20, 10,311.24 and 2,490

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Solution

The fourth proportional to 6,874.20, 10,311.24 and 2,490 is: 3,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.20 : 10,311.24 = 2,490 : x
  2. Step 2: Convert to fraction form
    6,874.20/10,311.24 = 2,490/x
  3. Step 3: Cross multiply
    6,874.20x = 10,311.24 × 2,490
  4. Step 4: Simplify right side
    6,874.20x = 25,674,987.60
  5. Step 5: Solve for x
    x = 25,674,987.60/6,874.20
  6. Step 6: Final answer
    x = 3,734.98

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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.