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Finding the Fourth Proportional to 12,915.10, 17,824.49 and 7,610.41

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Solution

The fourth proportional to 12,915.10, 17,824.49 and 7,610.41 is: 10,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.10 : 17,824.49 = 7,610.41 : x
  2. Step 2: Convert to fraction form
    12,915.10/17,824.49 = 7,610.41/x
  3. Step 3: Cross multiply
    12,915.10x = 17,824.49 × 7,610.41
  4. Step 4: Simplify right side
    12,915.10x = 135,651,676.94
  5. Step 5: Solve for x
    x = 135,651,676.94/12,915.10
  6. Step 6: Final answer
    x = 10,503.34

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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.