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Finding the Fourth Proportional to 11,453.84, 17,180.82 and 3,133.66

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Solution

The fourth proportional to 11,453.84, 17,180.82 and 3,133.66 is: 4,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.84 : 17,180.82 = 3,133.66 : x
  2. Step 2: Convert to fraction form
    11,453.84/17,180.82 = 3,133.66/x
  3. Step 3: Cross multiply
    11,453.84x = 17,180.82 × 3,133.66
  4. Step 4: Simplify right side
    11,453.84x = 53,838,848.40
  5. Step 5: Solve for x
    x = 53,838,848.40/11,453.84
  6. Step 6: Final answer
    x = 4,700.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.