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Finding the Fourth Proportional to 6,830.77, 10,243.67 and 2,387.18

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Solution

The fourth proportional to 6,830.77, 10,243.67 and 2,387.18 is: 3,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.77 : 10,243.67 = 2,387.18 : x
  2. Step 2: Convert to fraction form
    6,830.77/10,243.67 = 2,387.18/x
  3. Step 3: Cross multiply
    6,830.77x = 10,243.67 × 2,387.18
  4. Step 4: Simplify right side
    6,830.77x = 24,453,484.15
  5. Step 5: Solve for x
    x = 24,453,484.15/6,830.77
  6. Step 6: Final answer
    x = 3,579.90

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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.