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Finding the Fourth Proportional to 8,741.28, 12,052.47 and 7,142.01

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Solution

The fourth proportional to 8,741.28, 12,052.47 and 7,142.01 is: 9,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.28 : 12,052.47 = 7,142.01 : x
  2. Step 2: Convert to fraction form
    8,741.28/12,052.47 = 7,142.01/x
  3. Step 3: Cross multiply
    8,741.28x = 12,052.47 × 7,142.01
  4. Step 4: Simplify right side
    8,741.28x = 86,078,861.26
  5. Step 5: Solve for x
    x = 86,078,861.26/8,741.28
  6. Step 6: Final answer
    x = 9,847.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.