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Finding the Fourth Proportional to 10,083.84, 13,913.64 and 5,606.94

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Solution

The fourth proportional to 10,083.84, 13,913.64 and 5,606.94 is: 7,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.84 : 13,913.64 = 5,606.94 : x
  2. Step 2: Convert to fraction form
    10,083.84/13,913.64 = 5,606.94/x
  3. Step 3: Cross multiply
    10,083.84x = 13,913.64 × 5,606.94
  4. Step 4: Simplify right side
    10,083.84x = 78,012,944.66
  5. Step 5: Solve for x
    x = 78,012,944.66/10,083.84
  6. Step 6: Final answer
    x = 7,736.43

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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.