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Finding the Fourth Proportional to 8,134.54, 11,234.89 and 5,477.33

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Solution

The fourth proportional to 8,134.54, 11,234.89 and 5,477.33 is: 7,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.54 : 11,234.89 = 5,477.33 : x
  2. Step 2: Convert to fraction form
    8,134.54/11,234.89 = 5,477.33/x
  3. Step 3: Cross multiply
    8,134.54x = 11,234.89 × 5,477.33
  4. Step 4: Simplify right side
    8,134.54x = 61,537,200.04
  5. Step 5: Solve for x
    x = 61,537,200.04/8,134.54
  6. Step 6: Final answer
    x = 7,564.93

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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.