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Finding the Fourth Proportional to 10,112.73, 13,955.18 and 5,636.27

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Solution

The fourth proportional to 10,112.73, 13,955.18 and 5,636.27 is: 7,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.73 : 13,955.18 = 5,636.27 : x
  2. Step 2: Convert to fraction form
    10,112.73/13,955.18 = 5,636.27/x
  3. Step 3: Cross multiply
    10,112.73x = 13,955.18 × 5,636.27
  4. Step 4: Simplify right side
    10,112.73x = 78,655,162.38
  5. Step 5: Solve for x
    x = 78,655,162.38/10,112.73
  6. Step 6: Final answer
    x = 7,777.84

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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.