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Finding the Fourth Proportional to 11,693.01, 16,136.25 and 6,387.87

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Solution

The fourth proportional to 11,693.01, 16,136.25 and 6,387.87 is: 8,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.01 : 16,136.25 = 6,387.87 : x
  2. Step 2: Convert to fraction form
    11,693.01/16,136.25 = 6,387.87/x
  3. Step 3: Cross multiply
    11,693.01x = 16,136.25 × 6,387.87
  4. Step 4: Simplify right side
    11,693.01x = 103,076,267.29
  5. Step 5: Solve for x
    x = 103,076,267.29/11,693.01
  6. Step 6: Final answer
    x = 8,815.20

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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.