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Finding the Fourth Proportional to 11,005, 15,186.90 and 6,037

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Solution

The fourth proportional to 11,005, 15,186.90 and 6,037 is: 8,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005 : 15,186.90 = 6,037 : x
  2. Step 2: Convert to fraction form
    11,005/15,186.90 = 6,037/x
  3. Step 3: Cross multiply
    11,005x = 15,186.90 × 6,037
  4. Step 4: Simplify right side
    11,005x = 91,683,315.30
  5. Step 5: Solve for x
    x = 91,683,315.30/11,005
  6. Step 6: Final answer
    x = 8,331.06

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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.