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Finding the Fourth Proportional to 11,753.29, 16,219.45 and 6,448.07

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Solution

The fourth proportional to 11,753.29, 16,219.45 and 6,448.07 is: 8,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.29 : 16,219.45 = 6,448.07 : x
  2. Step 2: Convert to fraction form
    11,753.29/16,219.45 = 6,448.07/x
  3. Step 3: Cross multiply
    11,753.29x = 16,219.45 × 6,448.07
  4. Step 4: Simplify right side
    11,753.29x = 104,584,148.96
  5. Step 5: Solve for x
    x = 104,584,148.96/11,753.29
  6. Step 6: Final answer
    x = 8,898.29

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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.