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Finding the Fourth Proportional to 10,016.01, 15,024.29 and 3,442.10

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Solution

The fourth proportional to 10,016.01, 15,024.29 and 3,442.10 is: 5,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.01 : 15,024.29 = 3,442.10 : x
  2. Step 2: Convert to fraction form
    10,016.01/15,024.29 = 3,442.10/x
  3. Step 3: Cross multiply
    10,016.01x = 15,024.29 × 3,442.10
  4. Step 4: Simplify right side
    10,016.01x = 51,715,016.28
  5. Step 5: Solve for x
    x = 51,715,016.28/10,016.01
  6. Step 6: Final answer
    x = 5,163.24

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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.