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Finding the Fourth Proportional to 6,830.20, 10,256.10 and 4,994.20

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Solution

The fourth proportional to 6,830.20, 10,256.10 and 4,994.20 is: 7,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.20 : 10,256.10 = 4,994.20 : x
  2. Step 2: Convert to fraction form
    6,830.20/10,256.10 = 4,994.20/x
  3. Step 3: Cross multiply
    6,830.20x = 10,256.10 × 4,994.20
  4. Step 4: Simplify right side
    6,830.20x = 51,221,014.62
  5. Step 5: Solve for x
    x = 51,221,014.62/6,830.20
  6. Step 6: Final answer
    x = 7,499.20

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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.