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Finding the Fourth Proportional to 8,728.26, 13,095.88 and 3,182

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Solution

The fourth proportional to 8,728.26, 13,095.88 and 3,182 is: 4,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.26 : 13,095.88 = 3,182 : x
  2. Step 2: Convert to fraction form
    8,728.26/13,095.88 = 3,182/x
  3. Step 3: Cross multiply
    8,728.26x = 13,095.88 × 3,182
  4. Step 4: Simplify right side
    8,728.26x = 41,671,090.16
  5. Step 5: Solve for x
    x = 41,671,090.16/8,728.26
  6. Step 6: Final answer
    x = 4,774.27

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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.