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Finding the Fourth Proportional to 7,142.40, 10,720.80 and 3,447.60

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Solution

The fourth proportional to 7,142.40, 10,720.80 and 3,447.60 is: 5,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.40 : 10,720.80 = 3,447.60 : x
  2. Step 2: Convert to fraction form
    7,142.40/10,720.80 = 3,447.60/x
  3. Step 3: Cross multiply
    7,142.40x = 10,720.80 × 3,447.60
  4. Step 4: Simplify right side
    7,142.40x = 36,961,030.08
  5. Step 5: Solve for x
    x = 36,961,030.08/7,142.40
  6. Step 6: Final answer
    x = 5,174.88

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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.