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Finding the Fourth Proportional to 10,092.03, 15,137.98 and 3,072

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Solution

The fourth proportional to 10,092.03, 15,137.98 and 3,072 is: 4,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.03 : 15,137.98 = 3,072 : x
  2. Step 2: Convert to fraction form
    10,092.03/15,137.98 = 3,072/x
  3. Step 3: Cross multiply
    10,092.03x = 15,137.98 × 3,072
  4. Step 4: Simplify right side
    10,092.03x = 46,503,874.56
  5. Step 5: Solve for x
    x = 46,503,874.56/10,092.03
  6. Step 6: Final answer
    x = 4,607.98

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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.