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Finding the Fourth Proportional to 10,114.16, 15,173.67 and 3,093.89

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Solution

The fourth proportional to 10,114.16, 15,173.67 and 3,093.89 is: 4,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.16 : 15,173.67 = 3,093.89 : x
  2. Step 2: Convert to fraction form
    10,114.16/15,173.67 = 3,093.89/x
  3. Step 3: Cross multiply
    10,114.16x = 15,173.67 × 3,093.89
  4. Step 4: Simplify right side
    10,114.16x = 46,945,665.88
  5. Step 5: Solve for x
    x = 46,945,665.88/10,114.16
  6. Step 6: Final answer
    x = 4,641.58

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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.