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Finding the Fourth Proportional to 11,002.10, 16,510.01 and 6,850.25

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Solution

The fourth proportional to 11,002.10, 16,510.01 and 6,850.25 is: 10,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.10 : 16,510.01 = 6,850.25 : x
  2. Step 2: Convert to fraction form
    11,002.10/16,510.01 = 6,850.25/x
  3. Step 3: Cross multiply
    11,002.10x = 16,510.01 × 6,850.25
  4. Step 4: Simplify right side
    11,002.10x = 113,097,579.20
  5. Step 5: Solve for x
    x = 113,097,579.20/11,002.10
  6. Step 6: Final answer
    x = 10,279.63

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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.