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Finding the Fourth Proportional to 7,628.64, 10,524.36 and 4,644.06

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Solution

The fourth proportional to 7,628.64, 10,524.36 and 4,644.06 is: 6,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.64 : 10,524.36 = 4,644.06 : x
  2. Step 2: Convert to fraction form
    7,628.64/10,524.36 = 4,644.06/x
  3. Step 3: Cross multiply
    7,628.64x = 10,524.36 × 4,644.06
  4. Step 4: Simplify right side
    7,628.64x = 48,875,759.30
  5. Step 5: Solve for x
    x = 48,875,759.30/7,628.64
  6. Step 6: Final answer
    x = 6,406.88

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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.