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Finding the Fourth Proportional to 8,506.77, 11,735.55 and 5,671.39

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Solution

The fourth proportional to 8,506.77, 11,735.55 and 5,671.39 is: 7,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.77 : 11,735.55 = 5,671.39 : x
  2. Step 2: Convert to fraction form
    8,506.77/11,735.55 = 5,671.39/x
  3. Step 3: Cross multiply
    8,506.77x = 11,735.55 × 5,671.39
  4. Step 4: Simplify right side
    8,506.77x = 66,556,880.91
  5. Step 5: Solve for x
    x = 66,556,880.91/8,506.77
  6. Step 6: Final answer
    x = 7,823.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.