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Finding the Fourth Proportional to 11,562.35, 17,339.42 and 4,164.82

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Solution

The fourth proportional to 11,562.35, 17,339.42 and 4,164.82 is: 6,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.35 : 17,339.42 = 4,164.82 : x
  2. Step 2: Convert to fraction form
    11,562.35/17,339.42 = 4,164.82/x
  3. Step 3: Cross multiply
    11,562.35x = 17,339.42 × 4,164.82
  4. Step 4: Simplify right side
    11,562.35x = 72,215,506.84
  5. Step 5: Solve for x
    x = 72,215,506.84/11,562.35
  6. Step 6: Final answer
    x = 6,245.75

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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.