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Finding the Fourth Proportional to 10,700.48, 16,057.20 and 4,131.20

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Solution

The fourth proportional to 10,700.48, 16,057.20 and 4,131.20 is: 6,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.48 : 16,057.20 = 4,131.20 : x
  2. Step 2: Convert to fraction form
    10,700.48/16,057.20 = 4,131.20/x
  3. Step 3: Cross multiply
    10,700.48x = 16,057.20 × 4,131.20
  4. Step 4: Simplify right side
    10,700.48x = 66,335,504.64
  5. Step 5: Solve for x
    x = 66,335,504.64/10,700.48
  6. Step 6: Final answer
    x = 6,199.30

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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.