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Finding the Fourth Proportional to 8,211.16, 11,322.75 and 7,545.34

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Solution

The fourth proportional to 8,211.16, 11,322.75 and 7,545.34 is: 10,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.16 : 11,322.75 = 7,545.34 : x
  2. Step 2: Convert to fraction form
    8,211.16/11,322.75 = 7,545.34/x
  3. Step 3: Cross multiply
    8,211.16x = 11,322.75 × 7,545.34
  4. Step 4: Simplify right side
    8,211.16x = 85,433,998.49
  5. Step 5: Solve for x
    x = 85,433,998.49/8,211.16
  6. Step 6: Final answer
    x = 10,404.62

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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.