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Finding the Fourth Proportional to 10,804.50, 16,188.32 and 7,668.99

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Solution

The fourth proportional to 10,804.50, 16,188.32 and 7,668.99 is: 11,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.50 : 16,188.32 = 7,668.99 : x
  2. Step 2: Convert to fraction form
    10,804.50/16,188.32 = 7,668.99/x
  3. Step 3: Cross multiply
    10,804.50x = 16,188.32 × 7,668.99
  4. Step 4: Simplify right side
    10,804.50x = 124,148,083.37
  5. Step 5: Solve for x
    x = 124,148,083.37/10,804.50
  6. Step 6: Final answer
    x = 11,490.41

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Why These Related Problems?

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