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Finding the Fourth Proportional to 6,821.32, 10,235.28 and 3,314.32

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Solution

The fourth proportional to 6,821.32, 10,235.28 and 3,314.32 is: 4,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.32 : 10,235.28 = 3,314.32 : x
  2. Step 2: Convert to fraction form
    6,821.32/10,235.28 = 3,314.32/x
  3. Step 3: Cross multiply
    6,821.32x = 10,235.28 × 3,314.32
  4. Step 4: Simplify right side
    6,821.32x = 33,922,993.21
  5. Step 5: Solve for x
    x = 33,922,993.21/6,821.32
  6. Step 6: Final answer
    x = 4,973.08

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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.