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Finding the Fourth Proportional to 8,568.42, 11,828.27 and 5,031.86

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Solution

The fourth proportional to 8,568.42, 11,828.27 and 5,031.86 is: 6,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.42 : 11,828.27 = 5,031.86 : x
  2. Step 2: Convert to fraction form
    8,568.42/11,828.27 = 5,031.86/x
  3. Step 3: Cross multiply
    8,568.42x = 11,828.27 × 5,031.86
  4. Step 4: Simplify right side
    8,568.42x = 59,518,198.68
  5. Step 5: Solve for x
    x = 59,518,198.68/8,568.42
  6. Step 6: Final answer
    x = 6,946.23

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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.