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Finding the Fourth Proportional to 11,752.23, 16,217.23 and 6,446.19

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Solution

The fourth proportional to 11,752.23, 16,217.23 and 6,446.19 is: 8,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.23 : 16,217.23 = 6,446.19 : x
  2. Step 2: Convert to fraction form
    11,752.23/16,217.23 = 6,446.19/x
  3. Step 3: Cross multiply
    11,752.23x = 16,217.23 × 6,446.19
  4. Step 4: Simplify right side
    11,752.23x = 104,539,345.85
  5. Step 5: Solve for x
    x = 104,539,345.85/11,752.23
  6. Step 6: Final answer
    x = 8,895.28

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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.