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Finding the Fourth Proportional to 6,830.64, 10,248.84 and 3,544.56

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Solution

The fourth proportional to 6,830.64, 10,248.84 and 3,544.56 is: 5,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.64 : 10,248.84 = 3,544.56 : x
  2. Step 2: Convert to fraction form
    6,830.64/10,248.84 = 3,544.56/x
  3. Step 3: Cross multiply
    6,830.64x = 10,248.84 × 3,544.56
  4. Step 4: Simplify right side
    6,830.64x = 36,327,628.31
  5. Step 5: Solve for x
    x = 36,327,628.31/6,830.64
  6. Step 6: Final answer
    x = 5,318.33

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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.