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Finding the Fourth Proportional to 10,114.69, 15,174.79 and 3,094.55

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Solution

The fourth proportional to 10,114.69, 15,174.79 and 3,094.55 is: 4,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.69 : 15,174.79 = 3,094.55 : x
  2. Step 2: Convert to fraction form
    10,114.69/15,174.79 = 3,094.55/x
  3. Step 3: Cross multiply
    10,114.69x = 15,174.79 × 3,094.55
  4. Step 4: Simplify right side
    10,114.69x = 46,959,146.39
  5. Step 5: Solve for x
    x = 46,959,146.39/10,114.69
  6. Step 6: Final answer
    x = 4,642.67

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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.