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Finding the Fourth Proportional to 8,511.57, 11,746.94 and 4,974.57

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Solution

The fourth proportional to 8,511.57, 11,746.94 and 4,974.57 is: 6,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.57 : 11,746.94 = 4,974.57 : x
  2. Step 2: Convert to fraction form
    8,511.57/11,746.94 = 4,974.57/x
  3. Step 3: Cross multiply
    8,511.57x = 11,746.94 × 4,974.57
  4. Step 4: Simplify right side
    8,511.57x = 58,435,950.44
  5. Step 5: Solve for x
    x = 58,435,950.44/8,511.57
  6. Step 6: Final answer
    x = 6,865.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.