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Finding the Fourth Proportional to 8,585.68, 12,879.78 and 3,390.16

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Solution

The fourth proportional to 8,585.68, 12,879.78 and 3,390.16 is: 5,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.68 : 12,879.78 = 3,390.16 : x
  2. Step 2: Convert to fraction form
    8,585.68/12,879.78 = 3,390.16/x
  3. Step 3: Cross multiply
    8,585.68x = 12,879.78 × 3,390.16
  4. Step 4: Simplify right side
    8,585.68x = 43,664,514.96
  5. Step 5: Solve for x
    x = 43,664,514.96/8,585.68
  6. Step 6: Final answer
    x = 5,085.74

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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.