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Finding the Fourth Proportional to 8,380.12, 11,564.10 and 5,024.44

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Solution

The fourth proportional to 8,380.12, 11,564.10 and 5,024.44 is: 6,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.12 : 11,564.10 = 5,024.44 : x
  2. Step 2: Convert to fraction form
    8,380.12/11,564.10 = 5,024.44/x
  3. Step 3: Cross multiply
    8,380.12x = 11,564.10 × 5,024.44
  4. Step 4: Simplify right side
    8,380.12x = 58,103,126.60
  5. Step 5: Solve for x
    x = 58,103,126.60/8,380.12
  6. Step 6: Final answer
    x = 6,933.45

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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.