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Finding the Fourth Proportional to 8,813.85, 12,165.16 and 5,664.57

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Solution

The fourth proportional to 8,813.85, 12,165.16 and 5,664.57 is: 7,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.85 : 12,165.16 = 5,664.57 : x
  2. Step 2: Convert to fraction form
    8,813.85/12,165.16 = 5,664.57/x
  3. Step 3: Cross multiply
    8,813.85x = 12,165.16 × 5,664.57
  4. Step 4: Simplify right side
    8,813.85x = 68,910,442.46
  5. Step 5: Solve for x
    x = 68,910,442.46/8,813.85
  6. Step 6: Final answer
    x = 7,818.42

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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.