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Finding the Fourth Proportional to 7,617.48, 10,511.64 and 4,260.60

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Solution

The fourth proportional to 7,617.48, 10,511.64 and 4,260.60 is: 5,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.48 : 10,511.64 = 4,260.60 : x
  2. Step 2: Convert to fraction form
    7,617.48/10,511.64 = 4,260.60/x
  3. Step 3: Cross multiply
    7,617.48x = 10,511.64 × 4,260.60
  4. Step 4: Simplify right side
    7,617.48x = 44,785,893.38
  5. Step 5: Solve for x
    x = 44,785,893.38/7,617.48
  6. Step 6: Final answer
    x = 5,879.36

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Why These Related Problems?

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