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Finding the Fourth Proportional to 11,776.16, 17,671.25 and 4,759.58

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Solution

The fourth proportional to 11,776.16, 17,671.25 and 4,759.58 is: 7,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.16 : 17,671.25 = 4,759.58 : x
  2. Step 2: Convert to fraction form
    11,776.16/17,671.25 = 4,759.58/x
  3. Step 3: Cross multiply
    11,776.16x = 17,671.25 × 4,759.58
  4. Step 4: Simplify right side
    11,776.16x = 84,107,651.62
  5. Step 5: Solve for x
    x = 84,107,651.62/11,776.16
  6. Step 6: Final answer
    x = 7,142.20

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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.