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Finding the Fourth Proportional to 10,092.37, 15,139.10 and 3,071.85

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Solution

The fourth proportional to 10,092.37, 15,139.10 and 3,071.85 is: 4,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.37 : 15,139.10 = 3,071.85 : x
  2. Step 2: Convert to fraction form
    10,092.37/15,139.10 = 3,071.85/x
  3. Step 3: Cross multiply
    10,092.37x = 15,139.10 × 3,071.85
  4. Step 4: Simplify right side
    10,092.37x = 46,505,040.50
  5. Step 5: Solve for x
    x = 46,505,040.50/10,092.37
  6. Step 6: Final answer
    x = 4,607.94

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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.