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Finding the Fourth Proportional to 7,813.85, 11,714.36 and 3,651.80

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Solution

The fourth proportional to 7,813.85, 11,714.36 and 3,651.80 is: 5,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.85 : 11,714.36 = 3,651.80 : x
  2. Step 2: Convert to fraction form
    7,813.85/11,714.36 = 3,651.80/x
  3. Step 3: Cross multiply
    7,813.85x = 11,714.36 × 3,651.80
  4. Step 4: Simplify right side
    7,813.85x = 42,778,423.02
  5. Step 5: Solve for x
    x = 42,778,423.02/7,813.85
  6. Step 6: Final answer
    x = 5,474.70

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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.