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Finding the Fourth Proportional to 8,142.72, 12,206.88 and 3,980.40

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Solution

The fourth proportional to 8,142.72, 12,206.88 and 3,980.40 is: 5,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.72 : 12,206.88 = 3,980.40 : x
  2. Step 2: Convert to fraction form
    8,142.72/12,206.88 = 3,980.40/x
  3. Step 3: Cross multiply
    8,142.72x = 12,206.88 × 3,980.40
  4. Step 4: Simplify right side
    8,142.72x = 48,588,265.15
  5. Step 5: Solve for x
    x = 48,588,265.15/8,142.72
  6. Step 6: Final answer
    x = 5,967.08

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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.