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Finding the Fourth Proportional to 10,267.78, 14,169.54 and 5,552.06

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Solution

The fourth proportional to 10,267.78, 14,169.54 and 5,552.06 is: 7,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.78 : 14,169.54 = 5,552.06 : x
  2. Step 2: Convert to fraction form
    10,267.78/14,169.54 = 5,552.06/x
  3. Step 3: Cross multiply
    10,267.78x = 14,169.54 × 5,552.06
  4. Step 4: Simplify right side
    10,267.78x = 78,670,136.25
  5. Step 5: Solve for x
    x = 78,670,136.25/10,267.78
  6. Step 6: Final answer
    x = 7,661.84

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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.