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Finding the Fourth Proportional to 10,112.68, 13,955.94 and 5,636.68

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Solution

The fourth proportional to 10,112.68, 13,955.94 and 5,636.68 is: 7,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.68 : 13,955.94 = 5,636.68 : x
  2. Step 2: Convert to fraction form
    10,112.68/13,955.94 = 5,636.68/x
  3. Step 3: Cross multiply
    10,112.68x = 13,955.94 × 5,636.68
  4. Step 4: Simplify right side
    10,112.68x = 78,665,167.88
  5. Step 5: Solve for x
    x = 78,665,167.88/10,112.68
  6. Step 6: Final answer
    x = 7,778.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.