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Finding the Fourth Proportional to 10,016, 15,024.04 and 2,720

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Solution

The fourth proportional to 10,016, 15,024.04 and 2,720 is: 4,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016 : 15,024.04 = 2,720 : x
  2. Step 2: Convert to fraction form
    10,016/15,024.04 = 2,720/x
  3. Step 3: Cross multiply
    10,016x = 15,024.04 × 2,720
  4. Step 4: Simplify right side
    10,016x = 40,865,388.80
  5. Step 5: Solve for x
    x = 40,865,388.80/10,016
  6. Step 6: Final answer
    x = 4,080.01

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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.