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Finding the Fourth Proportional to 10,425.98, 15,640.00 and 3,028.46

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Solution

The fourth proportional to 10,425.98, 15,640.00 and 3,028.46 is: 4,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.98 : 15,640.00 = 3,028.46 : x
  2. Step 2: Convert to fraction form
    10,425.98/15,640.00 = 3,028.46/x
  3. Step 3: Cross multiply
    10,425.98x = 15,640.00 × 3,028.46
  4. Step 4: Simplify right side
    10,425.98x = 47,365,028.63
  5. Step 5: Solve for x
    x = 47,365,028.63/10,425.98
  6. Step 6: Final answer
    x = 4,542.98

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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.