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Finding the Fourth Proportional to 11,584.67, 16,007.70 and 9,245.39

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Solution

The fourth proportional to 11,584.67, 16,007.70 and 9,245.39 is: 12,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.67 : 16,007.70 = 9,245.39 : x
  2. Step 2: Convert to fraction form
    11,584.67/16,007.70 = 9,245.39/x
  3. Step 3: Cross multiply
    11,584.67x = 16,007.70 × 9,245.39
  4. Step 4: Simplify right side
    11,584.67x = 147,997,349.46
  5. Step 5: Solve for x
    x = 147,997,349.46/11,584.67
  6. Step 6: Final answer
    x = 12,775.28

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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.