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Finding the Fourth Proportional to 11,943.39, 17,915.06 and 3,178.31

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Solution

The fourth proportional to 11,943.39, 17,915.06 and 3,178.31 is: 4,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.39 : 17,915.06 = 3,178.31 : x
  2. Step 2: Convert to fraction form
    11,943.39/17,915.06 = 3,178.31/x
  3. Step 3: Cross multiply
    11,943.39x = 17,915.06 × 3,178.31
  4. Step 4: Simplify right side
    11,943.39x = 56,939,532.72
  5. Step 5: Solve for x
    x = 56,939,532.72/11,943.39
  6. Step 6: Final answer
    x = 4,767.45

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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.