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Finding the Fourth Proportional to 8,506.26, 12,751.29 and 4,117.68

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Solution

The fourth proportional to 8,506.26, 12,751.29 and 4,117.68 is: 6,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.26 : 12,751.29 = 4,117.68 : x
  2. Step 2: Convert to fraction form
    8,506.26/12,751.29 = 4,117.68/x
  3. Step 3: Cross multiply
    8,506.26x = 12,751.29 × 4,117.68
  4. Step 4: Simplify right side
    8,506.26x = 52,505,731.81
  5. Step 5: Solve for x
    x = 52,505,731.81/8,506.26
  6. Step 6: Final answer
    x = 6,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.