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Finding the Fourth Proportional to 12,578.72, 17,358.45 and 7,274.03

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Solution

The fourth proportional to 12,578.72, 17,358.45 and 7,274.03 is: 10,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.72 : 17,358.45 = 7,274.03 : x
  2. Step 2: Convert to fraction form
    12,578.72/17,358.45 = 7,274.03/x
  3. Step 3: Cross multiply
    12,578.72x = 17,358.45 × 7,274.03
  4. Step 4: Simplify right side
    12,578.72x = 126,265,886.05
  5. Step 5: Solve for x
    x = 126,265,886.05/12,578.72
  6. Step 6: Final answer
    x = 10,038.06

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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.