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Finding the Fourth Proportional to 10,620.36, 15,915.42 and 7,825.05

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Solution

The fourth proportional to 10,620.36, 15,915.42 and 7,825.05 is: 11,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.36 : 15,915.42 = 7,825.05 : x
  2. Step 2: Convert to fraction form
    10,620.36/15,915.42 = 7,825.05/x
  3. Step 3: Cross multiply
    10,620.36x = 15,915.42 × 7,825.05
  4. Step 4: Simplify right side
    10,620.36x = 124,538,957.27
  5. Step 5: Solve for x
    x = 124,538,957.27/10,620.36
  6. Step 6: Final answer
    x = 11,726.43

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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.