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Finding the Fourth Proportional to 8,189.72, 12,276.48 and 3,256.28

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Solution

The fourth proportional to 8,189.72, 12,276.48 and 3,256.28 is: 4,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.72 : 12,276.48 = 3,256.28 : x
  2. Step 2: Convert to fraction form
    8,189.72/12,276.48 = 3,256.28/x
  3. Step 3: Cross multiply
    8,189.72x = 12,276.48 × 3,256.28
  4. Step 4: Simplify right side
    8,189.72x = 39,975,656.29
  5. Step 5: Solve for x
    x = 39,975,656.29/8,189.72
  6. Step 6: Final answer
    x = 4,881.20

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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.