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Finding the Fourth Proportional to 11,754.06, 16,220.49 and 6,448.89

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Solution

The fourth proportional to 11,754.06, 16,220.49 and 6,448.89 is: 8,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.06 : 16,220.49 = 6,448.89 : x
  2. Step 2: Convert to fraction form
    11,754.06/16,220.49 = 6,448.89/x
  3. Step 3: Cross multiply
    11,754.06x = 16,220.49 × 6,448.89
  4. Step 4: Simplify right side
    11,754.06x = 104,604,155.76
  5. Step 5: Solve for x
    x = 104,604,155.76/11,754.06
  6. Step 6: Final answer
    x = 8,899.41

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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.