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Finding the Fourth Proportional to 6,821.64, 9,410.76 and 4,168.50

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Solution

The fourth proportional to 6,821.64, 9,410.76 and 4,168.50 is: 5,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.64 : 9,410.76 = 4,168.50 : x
  2. Step 2: Convert to fraction form
    6,821.64/9,410.76 = 4,168.50/x
  3. Step 3: Cross multiply
    6,821.64x = 9,410.76 × 4,168.50
  4. Step 4: Simplify right side
    6,821.64x = 39,228,753.06
  5. Step 5: Solve for x
    x = 39,228,753.06/6,821.64
  6. Step 6: Final answer
    x = 5,750.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.