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Finding the Fourth Proportional to 11,181.84, 15,404.34 and 7,818.42

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Solution

The fourth proportional to 11,181.84, 15,404.34 and 7,818.42 is: 10,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.84 : 15,404.34 = 7,818.42 : x
  2. Step 2: Convert to fraction form
    11,181.84/15,404.34 = 7,818.42/x
  3. Step 3: Cross multiply
    11,181.84x = 15,404.34 × 7,818.42
  4. Step 4: Simplify right side
    11,181.84x = 120,437,599.94
  5. Step 5: Solve for x
    x = 120,437,599.94/11,181.84
  6. Step 6: Final answer
    x = 10,770.82

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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.