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Finding the Fourth Proportional to 7,536.57, 11,305.20 and 6,217.88

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Solution

The fourth proportional to 7,536.57, 11,305.20 and 6,217.88 is: 9,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.57 : 11,305.20 = 6,217.88 : x
  2. Step 2: Convert to fraction form
    7,536.57/11,305.20 = 6,217.88/x
  3. Step 3: Cross multiply
    7,536.57x = 11,305.20 × 6,217.88
  4. Step 4: Simplify right side
    7,536.57x = 70,294,343.77
  5. Step 5: Solve for x
    x = 70,294,343.77/7,536.57
  6. Step 6: Final answer
    x = 9,327.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.