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Finding the Fourth Proportional to 7,659.84, 10,573.82 and 4,676.75

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Solution

The fourth proportional to 7,659.84, 10,573.82 and 4,676.75 is: 6,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.84 : 10,573.82 = 4,676.75 : x
  2. Step 2: Convert to fraction form
    7,659.84/10,573.82 = 4,676.75/x
  3. Step 3: Cross multiply
    7,659.84x = 10,573.82 × 4,676.75
  4. Step 4: Simplify right side
    7,659.84x = 49,451,036.43
  5. Step 5: Solve for x
    x = 49,451,036.43/7,659.84
  6. Step 6: Final answer
    x = 6,455.88

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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.