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Finding the Fourth Proportional to 11,753.48, 16,220.24 and 6,448.17

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Solution

The fourth proportional to 11,753.48, 16,220.24 and 6,448.17 is: 8,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.48 : 16,220.24 = 6,448.17 : x
  2. Step 2: Convert to fraction form
    11,753.48/16,220.24 = 6,448.17/x
  3. Step 3: Cross multiply
    11,753.48x = 16,220.24 × 6,448.17
  4. Step 4: Simplify right side
    11,753.48x = 104,590,832.72
  5. Step 5: Solve for x
    x = 104,590,832.72/11,753.48
  6. Step 6: Final answer
    x = 8,898.72

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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.