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Finding the Fourth Proportional to 11,185.12, 16,706.28 and 10,129.44

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Solution

The fourth proportional to 11,185.12, 16,706.28 and 10,129.44 is: 15,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.12 : 16,706.28 = 10,129.44 : x
  2. Step 2: Convert to fraction form
    11,185.12/16,706.28 = 10,129.44/x
  3. Step 3: Cross multiply
    11,185.12x = 16,706.28 × 10,129.44
  4. Step 4: Simplify right side
    11,185.12x = 169,225,260.88
  5. Step 5: Solve for x
    x = 169,225,260.88/11,185.12
  6. Step 6: Final answer
    x = 15,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.