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Finding the Fourth Proportional to 7,944.80, 10,964.16 and 4,801.16

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Solution

The fourth proportional to 7,944.80, 10,964.16 and 4,801.16 is: 6,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.80 : 10,964.16 = 4,801.16 : x
  2. Step 2: Convert to fraction form
    7,944.80/10,964.16 = 4,801.16/x
  3. Step 3: Cross multiply
    7,944.80x = 10,964.16 × 4,801.16
  4. Step 4: Simplify right side
    7,944.80x = 52,640,686.43
  5. Step 5: Solve for x
    x = 52,640,686.43/7,944.80
  6. Step 6: Final answer
    x = 6,625.80

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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.