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Finding the Fourth Proportional to 6,833.60, 10,252.16 and 2,153.76

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Solution

The fourth proportional to 6,833.60, 10,252.16 and 2,153.76 is: 3,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.60 : 10,252.16 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    6,833.60/10,252.16 = 2,153.76/x
  3. Step 3: Cross multiply
    6,833.60x = 10,252.16 × 2,153.76
  4. Step 4: Simplify right side
    6,833.60x = 22,080,692.12
  5. Step 5: Solve for x
    x = 22,080,692.12/6,833.60
  6. Step 6: Final answer
    x = 3,231.19

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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.