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Finding the Fourth Proportional to 10,016, 15,024.21 and 3,090.50

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Solution

The fourth proportional to 10,016, 15,024.21 and 3,090.50 is: 4,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016 : 15,024.21 = 3,090.50 : x
  2. Step 2: Convert to fraction form
    10,016/15,024.21 = 3,090.50/x
  3. Step 3: Cross multiply
    10,016x = 15,024.21 × 3,090.50
  4. Step 4: Simplify right side
    10,016x = 46,432,321.01
  5. Step 5: Solve for x
    x = 46,432,321.01/10,016
  6. Step 6: Final answer
    x = 4,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.