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Finding the Fourth Proportional to 8,578.19, 11,838.34 and 5,042.54

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Solution

The fourth proportional to 8,578.19, 11,838.34 and 5,042.54 is: 6,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.19 : 11,838.34 = 5,042.54 : x
  2. Step 2: Convert to fraction form
    8,578.19/11,838.34 = 5,042.54/x
  3. Step 3: Cross multiply
    8,578.19x = 11,838.34 × 5,042.54
  4. Step 4: Simplify right side
    8,578.19x = 59,695,302.98
  5. Step 5: Solve for x
    x = 59,695,302.98/8,578.19
  6. Step 6: Final answer
    x = 6,958.96

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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.