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Finding the Fourth Proportional to 11,715.03, 16,166.52 and 6,409.94

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Solution

The fourth proportional to 11,715.03, 16,166.52 and 6,409.94 is: 8,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.03 : 16,166.52 = 6,409.94 : x
  2. Step 2: Convert to fraction form
    11,715.03/16,166.52 = 6,409.94/x
  3. Step 3: Cross multiply
    11,715.03x = 16,166.52 × 6,409.94
  4. Step 4: Simplify right side
    11,715.03x = 103,626,342.38
  5. Step 5: Solve for x
    x = 103,626,342.38/11,715.03
  6. Step 6: Final answer
    x = 8,845.59

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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.