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Finding the Fourth Proportional to 7,662.50, 10,575.48 and 7,162.22

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Solution

The fourth proportional to 7,662.50, 10,575.48 and 7,162.22 is: 9,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.50 : 10,575.48 = 7,162.22 : x
  2. Step 2: Convert to fraction form
    7,662.50/10,575.48 = 7,162.22/x
  3. Step 3: Cross multiply
    7,662.50x = 10,575.48 × 7,162.22
  4. Step 4: Simplify right side
    7,662.50x = 75,743,878.55
  5. Step 5: Solve for x
    x = 75,743,878.55/7,662.50
  6. Step 6: Final answer
    x = 9,885.02

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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.