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Finding the Fourth Proportional to 11,578.52, 17,364.15 and 4,182

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Solution

The fourth proportional to 11,578.52, 17,364.15 and 4,182 is: 6,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.52 : 17,364.15 = 4,182 : x
  2. Step 2: Convert to fraction form
    11,578.52/17,364.15 = 4,182/x
  3. Step 3: Cross multiply
    11,578.52x = 17,364.15 × 4,182
  4. Step 4: Simplify right side
    11,578.52x = 72,616,875.30
  5. Step 5: Solve for x
    x = 72,616,875.30/11,578.52
  6. Step 6: Final answer
    x = 6,271.69

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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.