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Finding the Fourth Proportional to 8,578.06, 11,840.06 and 5,042.42

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Solution

The fourth proportional to 8,578.06, 11,840.06 and 5,042.42 is: 6,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.06 : 11,840.06 = 5,042.42 : x
  2. Step 2: Convert to fraction form
    8,578.06/11,840.06 = 5,042.42/x
  3. Step 3: Cross multiply
    8,578.06x = 11,840.06 × 5,042.42
  4. Step 4: Simplify right side
    8,578.06x = 59,702,555.35
  5. Step 5: Solve for x
    x = 59,702,555.35/8,578.06
  6. Step 6: Final answer
    x = 6,959.91

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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.