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Finding the Fourth Proportional to 6,495.63, 8,963.97 and 3,511.47

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Solution

The fourth proportional to 6,495.63, 8,963.97 and 3,511.47 is: 4,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.63 : 8,963.97 = 3,511.47 : x
  2. Step 2: Convert to fraction form
    6,495.63/8,963.97 = 3,511.47/x
  3. Step 3: Cross multiply
    6,495.63x = 8,963.97 × 3,511.47
  4. Step 4: Simplify right side
    6,495.63x = 31,476,689.33
  5. Step 5: Solve for x
    x = 31,476,689.33/6,495.63
  6. Step 6: Final answer
    x = 4,845.82

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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.