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Finding the Fourth Proportional to 6,278.77, 8,648.07 and 4,680.30

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Solution

The fourth proportional to 6,278.77, 8,648.07 and 4,680.30 is: 6,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.77 : 8,648.07 = 4,680.30 : x
  2. Step 2: Convert to fraction form
    6,278.77/8,648.07 = 4,680.30/x
  3. Step 3: Cross multiply
    6,278.77x = 8,648.07 × 4,680.30
  4. Step 4: Simplify right side
    6,278.77x = 40,475,528.25
  5. Step 5: Solve for x
    x = 40,475,528.25/6,278.77
  6. Step 6: Final answer
    x = 6,446.41

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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.