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Finding the Fourth Proportional to 10,720.16, 16,083 and 4,144.64

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Solution

The fourth proportional to 10,720.16, 16,083 and 4,144.64 is: 6,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.16 : 16,083 = 4,144.64 : x
  2. Step 2: Convert to fraction form
    10,720.16/16,083 = 4,144.64/x
  3. Step 3: Cross multiply
    10,720.16x = 16,083 × 4,144.64
  4. Step 4: Simplify right side
    10,720.16x = 66,658,245.12
  5. Step 5: Solve for x
    x = 66,658,245.12/10,720.16
  6. Step 6: Final answer
    x = 6,218.03

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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.