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Finding the Fourth Proportional to 8,180.96, 12,274.68 and 4,670.96

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Solution

The fourth proportional to 8,180.96, 12,274.68 and 4,670.96 is: 7,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.96 : 12,274.68 = 4,670.96 : x
  2. Step 2: Convert to fraction form
    8,180.96/12,274.68 = 4,670.96/x
  3. Step 3: Cross multiply
    8,180.96x = 12,274.68 × 4,670.96
  4. Step 4: Simplify right side
    8,180.96x = 57,334,539.29
  5. Step 5: Solve for x
    x = 57,334,539.29/8,180.96
  6. Step 6: Final answer
    x = 7,008.29

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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.