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Finding the Fourth Proportional to 11,778.48, 17,636.16 and 6,220.32

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Solution

The fourth proportional to 11,778.48, 17,636.16 and 6,220.32 is: 9,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.48 : 17,636.16 = 6,220.32 : x
  2. Step 2: Convert to fraction form
    11,778.48/17,636.16 = 6,220.32/x
  3. Step 3: Cross multiply
    11,778.48x = 17,636.16 × 6,220.32
  4. Step 4: Simplify right side
    11,778.48x = 109,702,558.77
  5. Step 5: Solve for x
    x = 109,702,558.77/11,778.48
  6. Step 6: Final answer
    x = 9,313.81

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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.