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Finding the Fourth Proportional to 11,589.90, 15,985.80 and 8,181.42

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Solution

The fourth proportional to 11,589.90, 15,985.80 and 8,181.42 is: 11,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.90 : 15,985.80 = 8,181.42 : x
  2. Step 2: Convert to fraction form
    11,589.90/15,985.80 = 8,181.42/x
  3. Step 3: Cross multiply
    11,589.90x = 15,985.80 × 8,181.42
  4. Step 4: Simplify right side
    11,589.90x = 130,786,543.84
  5. Step 5: Solve for x
    x = 130,786,543.84/11,589.90
  6. Step 6: Final answer
    x = 11,284.53

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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.