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Finding the Fourth Proportional to 7,662.04, 10,575.30 and 4,867

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Solution

The fourth proportional to 7,662.04, 10,575.30 and 4,867 is: 6,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.04 : 10,575.30 = 4,867 : x
  2. Step 2: Convert to fraction form
    7,662.04/10,575.30 = 4,867/x
  3. Step 3: Cross multiply
    7,662.04x = 10,575.30 × 4,867
  4. Step 4: Simplify right side
    7,662.04x = 51,469,985.10
  5. Step 5: Solve for x
    x = 51,469,985.10/7,662.04
  6. Step 6: Final answer
    x = 6,717.53

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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.