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Finding the Fourth Proportional to 10,112.39, 13,954.65 and 5,636.63

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Solution

The fourth proportional to 10,112.39, 13,954.65 and 5,636.63 is: 7,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.39 : 13,954.65 = 5,636.63 : x
  2. Step 2: Convert to fraction form
    10,112.39/13,954.65 = 5,636.63/x
  3. Step 3: Cross multiply
    10,112.39x = 13,954.65 × 5,636.63
  4. Step 4: Simplify right side
    10,112.39x = 78,657,198.83
  5. Step 5: Solve for x
    x = 78,657,198.83/10,112.39
  6. Step 6: Final answer
    x = 7,778.30

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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.