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Finding the Fourth Proportional to 10,094.69, 15,144.71 and 3,520.87

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Solution

The fourth proportional to 10,094.69, 15,144.71 and 3,520.87 is: 5,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.69 : 15,144.71 = 3,520.87 : x
  2. Step 2: Convert to fraction form
    10,094.69/15,144.71 = 3,520.87/x
  3. Step 3: Cross multiply
    10,094.69x = 15,144.71 × 3,520.87
  4. Step 4: Simplify right side
    10,094.69x = 53,322,499.63
  5. Step 5: Solve for x
    x = 53,322,499.63/10,094.69
  6. Step 6: Final answer
    x = 5,282.23

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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.