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Finding the Fourth Proportional to 11,710.14, 16,160 and 6,404.96

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Solution

The fourth proportional to 11,710.14, 16,160 and 6,404.96 is: 8,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.14 : 16,160 = 6,404.96 : x
  2. Step 2: Convert to fraction form
    11,710.14/16,160 = 6,404.96/x
  3. Step 3: Cross multiply
    11,710.14x = 16,160 × 6,404.96
  4. Step 4: Simplify right side
    11,710.14x = 103,504,153.60
  5. Step 5: Solve for x
    x = 103,504,153.60/11,710.14
  6. Step 6: Final answer
    x = 8,838.85

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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.