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Finding the Fourth Proportional to 11,890.50, 16,409.42 and 6,513.31

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Solution

The fourth proportional to 11,890.50, 16,409.42 and 6,513.31 is: 8,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.50 : 16,409.42 = 6,513.31 : x
  2. Step 2: Convert to fraction form
    11,890.50/16,409.42 = 6,513.31/x
  3. Step 3: Cross multiply
    11,890.50x = 16,409.42 × 6,513.31
  4. Step 4: Simplify right side
    11,890.50x = 106,879,639.38
  5. Step 5: Solve for x
    x = 106,879,639.38/11,890.50
  6. Step 6: Final answer
    x = 8,988.66

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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.