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Finding the Fourth Proportional to 6,456.60, 8,906.76 and 5,263.44

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Solution

The fourth proportional to 6,456.60, 8,906.76 and 5,263.44 is: 7,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.60 : 8,906.76 = 5,263.44 : x
  2. Step 2: Convert to fraction form
    6,456.60/8,906.76 = 5,263.44/x
  3. Step 3: Cross multiply
    6,456.60x = 8,906.76 × 5,263.44
  4. Step 4: Simplify right side
    6,456.60x = 46,880,196.85
  5. Step 5: Solve for x
    x = 46,880,196.85/6,456.60
  6. Step 6: Final answer
    x = 7,260.82

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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.