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Finding the Fourth Proportional to 11,664.84, 17,488.22 and 7,957.96

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Solution

The fourth proportional to 11,664.84, 17,488.22 and 7,957.96 is: 11,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.84 : 17,488.22 = 7,957.96 : x
  2. Step 2: Convert to fraction form
    11,664.84/17,488.22 = 7,957.96/x
  3. Step 3: Cross multiply
    11,664.84x = 17,488.22 × 7,957.96
  4. Step 4: Simplify right side
    11,664.84x = 139,170,555.23
  5. Step 5: Solve for x
    x = 139,170,555.23/11,664.84
  6. Step 6: Final answer
    x = 11,930.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.