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Finding the Fourth Proportional to 8,622.65, 11,889.83 and 5,823.29

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Solution

The fourth proportional to 8,622.65, 11,889.83 and 5,823.29 is: 8,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.65 : 11,889.83 = 5,823.29 : x
  2. Step 2: Convert to fraction form
    8,622.65/11,889.83 = 5,823.29/x
  3. Step 3: Cross multiply
    8,622.65x = 11,889.83 × 5,823.29
  4. Step 4: Simplify right side
    8,622.65x = 69,237,883.25
  5. Step 5: Solve for x
    x = 69,237,883.25/8,622.65
  6. Step 6: Final answer
    x = 8,029.77

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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.