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Finding the Fourth Proportional to 8,211.54, 12,320.34 and 5,890.08

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Solution

The fourth proportional to 8,211.54, 12,320.34 and 5,890.08 is: 8,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.54 : 12,320.34 = 5,890.08 : x
  2. Step 2: Convert to fraction form
    8,211.54/12,320.34 = 5,890.08/x
  3. Step 3: Cross multiply
    8,211.54x = 12,320.34 × 5,890.08
  4. Step 4: Simplify right side
    8,211.54x = 72,567,788.23
  5. Step 5: Solve for x
    x = 72,567,788.23/8,211.54
  6. Step 6: Final answer
    x = 8,837.29

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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.