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Finding the Fourth Proportional to 7,382.92, 10,188.48 and 4,400.26

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Solution

The fourth proportional to 7,382.92, 10,188.48 and 4,400.26 is: 6,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.92 : 10,188.48 = 4,400.26 : x
  2. Step 2: Convert to fraction form
    7,382.92/10,188.48 = 4,400.26/x
  3. Step 3: Cross multiply
    7,382.92x = 10,188.48 × 4,400.26
  4. Step 4: Simplify right side
    7,382.92x = 44,831,961.00
  5. Step 5: Solve for x
    x = 44,831,961.00/7,382.92
  6. Step 6: Final answer
    x = 6,072.39

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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.