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Finding the Fourth Proportional to 10,982.88, 16,464.08 and 4,052

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Solution

The fourth proportional to 10,982.88, 16,464.08 and 4,052 is: 6,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.88 : 16,464.08 = 4,052 : x
  2. Step 2: Convert to fraction form
    10,982.88/16,464.08 = 4,052/x
  3. Step 3: Cross multiply
    10,982.88x = 16,464.08 × 4,052
  4. Step 4: Simplify right side
    10,982.88x = 66,712,452.16
  5. Step 5: Solve for x
    x = 66,712,452.16/10,982.88
  6. Step 6: Final answer
    x = 6,074.22

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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.