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Finding the Fourth Proportional to 8,187.54, 11,296.85 and 4,830.09

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Solution

The fourth proportional to 8,187.54, 11,296.85 and 4,830.09 is: 6,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.54 : 11,296.85 = 4,830.09 : x
  2. Step 2: Convert to fraction form
    8,187.54/11,296.85 = 4,830.09/x
  3. Step 3: Cross multiply
    8,187.54x = 11,296.85 × 4,830.09
  4. Step 4: Simplify right side
    8,187.54x = 54,564,778.07
  5. Step 5: Solve for x
    x = 54,564,778.07/8,187.54
  6. Step 6: Final answer
    x = 6,664.37

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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.