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Finding the Fourth Proportional to 8,568.86, 12,853.62 and 8,101.35

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Solution

The fourth proportional to 8,568.86, 12,853.62 and 8,101.35 is: 12,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.86 : 12,853.62 = 8,101.35 : x
  2. Step 2: Convert to fraction form
    8,568.86/12,853.62 = 8,101.35/x
  3. Step 3: Cross multiply
    8,568.86x = 12,853.62 × 8,101.35
  4. Step 4: Simplify right side
    8,568.86x = 104,131,674.39
  5. Step 5: Solve for x
    x = 104,131,674.39/8,568.86
  6. Step 6: Final answer
    x = 12,152.34

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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.