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Finding the Fourth Proportional to 11,950.40, 16,495.65 and 7,234.68

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Solution

The fourth proportional to 11,950.40, 16,495.65 and 7,234.68 is: 9,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.40 : 16,495.65 = 7,234.68 : x
  2. Step 2: Convert to fraction form
    11,950.40/16,495.65 = 7,234.68/x
  3. Step 3: Cross multiply
    11,950.40x = 16,495.65 × 7,234.68
  4. Step 4: Simplify right side
    11,950.40x = 119,340,712.97
  5. Step 5: Solve for x
    x = 119,340,712.97/11,950.40
  6. Step 6: Final answer
    x = 9,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.