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Finding the Fourth Proportional to 12,578.42, 17,356.83 and 7,542.86

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Solution

The fourth proportional to 12,578.42, 17,356.83 and 7,542.86 is: 10,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.42 : 17,356.83 = 7,542.86 : x
  2. Step 2: Convert to fraction form
    12,578.42/17,356.83 = 7,542.86/x
  3. Step 3: Cross multiply
    12,578.42x = 17,356.83 × 7,542.86
  4. Step 4: Simplify right side
    12,578.42x = 130,920,051.95
  5. Step 5: Solve for x
    x = 130,920,051.95/12,578.42
  6. Step 6: Final answer
    x = 10,408.31

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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.