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Finding the Fourth Proportional to 10,027.49, 13,838.06 and 5,551.66

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Solution

The fourth proportional to 10,027.49, 13,838.06 and 5,551.66 is: 7,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.49 : 13,838.06 = 5,551.66 : x
  2. Step 2: Convert to fraction form
    10,027.49/13,838.06 = 5,551.66/x
  3. Step 3: Cross multiply
    10,027.49x = 13,838.06 × 5,551.66
  4. Step 4: Simplify right side
    10,027.49x = 76,824,204.18
  5. Step 5: Solve for x
    x = 76,824,204.18/10,027.49
  6. Step 6: Final answer
    x = 7,661.36

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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.