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Finding the Fourth Proportional to 11,520.42, 17,284.14 and 5,977.74

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Solution

The fourth proportional to 11,520.42, 17,284.14 and 5,977.74 is: 8,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.42 : 17,284.14 = 5,977.74 : x
  2. Step 2: Convert to fraction form
    11,520.42/17,284.14 = 5,977.74/x
  3. Step 3: Cross multiply
    11,520.42x = 17,284.14 × 5,977.74
  4. Step 4: Simplify right side
    11,520.42x = 103,320,095.04
  5. Step 5: Solve for x
    x = 103,320,095.04/11,520.42
  6. Step 6: Final answer
    x = 8,968.43

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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.