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Finding the Fourth Proportional to 8,582.96, 12,874.68 and 2,739.04

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Solution

The fourth proportional to 8,582.96, 12,874.68 and 2,739.04 is: 4,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.96 : 12,874.68 = 2,739.04 : x
  2. Step 2: Convert to fraction form
    8,582.96/12,874.68 = 2,739.04/x
  3. Step 3: Cross multiply
    8,582.96x = 12,874.68 × 2,739.04
  4. Step 4: Simplify right side
    8,582.96x = 35,264,263.51
  5. Step 5: Solve for x
    x = 35,264,263.51/8,582.96
  6. Step 6: Final answer
    x = 4,108.64

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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.