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Finding the Fourth Proportional to 10,524.06, 15,775.43 and 6,828.64

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Solution

The fourth proportional to 10,524.06, 15,775.43 and 6,828.64 is: 10,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.06 : 15,775.43 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    10,524.06/15,775.43 = 6,828.64/x
  3. Step 3: Cross multiply
    10,524.06x = 15,775.43 × 6,828.64
  4. Step 4: Simplify right side
    10,524.06x = 107,724,658.73
  5. Step 5: Solve for x
    x = 107,724,658.73/10,524.06
  6. Step 6: Final answer
    x = 10,236.04

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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.