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Finding the Fourth Proportional to 8,142.93, 12,214.62 and 2,596.41

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Solution

The fourth proportional to 8,142.93, 12,214.62 and 2,596.41 is: 3,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.93 : 12,214.62 = 2,596.41 : x
  2. Step 2: Convert to fraction form
    8,142.93/12,214.62 = 2,596.41/x
  3. Step 3: Cross multiply
    8,142.93x = 12,214.62 × 2,596.41
  4. Step 4: Simplify right side
    8,142.93x = 31,714,161.51
  5. Step 5: Solve for x
    x = 31,714,161.51/8,142.93
  6. Step 6: Final answer
    x = 3,894.69

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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.