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Finding the Fourth Proportional to 10,094.99, 15,141.85 and 3,768.63

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Solution

The fourth proportional to 10,094.99, 15,141.85 and 3,768.63 is: 5,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.99 : 15,141.85 = 3,768.63 : x
  2. Step 2: Convert to fraction form
    10,094.99/15,141.85 = 3,768.63/x
  3. Step 3: Cross multiply
    10,094.99x = 15,141.85 × 3,768.63
  4. Step 4: Simplify right side
    10,094.99x = 57,064,070.33
  5. Step 5: Solve for x
    x = 57,064,070.33/10,094.99
  6. Step 6: Final answer
    x = 5,652.71

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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.