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Finding the Fourth Proportional to 37,578.92, 56,377.02 and 11,284.16

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Solution

The fourth proportional to 37,578.92, 56,377.02 and 11,284.16 is: 16,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578.92 : 56,377.02 = 11,284.16 : x
  2. Step 2: Convert to fraction form
    37,578.92/56,377.02 = 11,284.16/x
  3. Step 3: Cross multiply
    37,578.92x = 56,377.02 × 11,284.16
  4. Step 4: Simplify right side
    37,578.92x = 636,167,314.00
  5. Step 5: Solve for x
    x = 636,167,314.00/37,578.92
  6. Step 6: Final answer
    x = 16,928.83

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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.