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Finding the Fourth Proportional to 11,710.56, 16,160.61 and 6,405.33

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Solution

The fourth proportional to 11,710.56, 16,160.61 and 6,405.33 is: 8,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.56 : 16,160.61 = 6,405.33 : x
  2. Step 2: Convert to fraction form
    11,710.56/16,160.61 = 6,405.33/x
  3. Step 3: Cross multiply
    11,710.56x = 16,160.61 × 6,405.33
  4. Step 4: Simplify right side
    11,710.56x = 103,514,040.05
  5. Step 5: Solve for x
    x = 103,514,040.05/11,710.56
  6. Step 6: Final answer
    x = 8,839.38

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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.