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Finding the Fourth Proportional to 6,511.24, 8,976.18 and 4,645

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Solution

The fourth proportional to 6,511.24, 8,976.18 and 4,645 is: 6,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.24 : 8,976.18 = 4,645 : x
  2. Step 2: Convert to fraction form
    6,511.24/8,976.18 = 4,645/x
  3. Step 3: Cross multiply
    6,511.24x = 8,976.18 × 4,645
  4. Step 4: Simplify right side
    6,511.24x = 41,694,356.10
  5. Step 5: Solve for x
    x = 41,694,356.10/6,511.24
  6. Step 6: Final answer
    x = 6,403.44

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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.