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Finding the Fourth Proportional to 10,825.72, 14,924.62 and 6,844.84

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Solution

The fourth proportional to 10,825.72, 14,924.62 and 6,844.84 is: 9,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.72 : 14,924.62 = 6,844.84 : x
  2. Step 2: Convert to fraction form
    10,825.72/14,924.62 = 6,844.84/x
  3. Step 3: Cross multiply
    10,825.72x = 14,924.62 × 6,844.84
  4. Step 4: Simplify right side
    10,825.72x = 102,156,635.96
  5. Step 5: Solve for x
    x = 102,156,635.96/10,825.72
  6. Step 6: Final answer
    x = 9,436.47

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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.