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Finding the Fourth Proportional to 5,512.96, 8,272.50 and 5,095

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Solution

The fourth proportional to 5,512.96, 8,272.50 and 5,095 is: 7,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.96 : 8,272.50 = 5,095 : x
  2. Step 2: Convert to fraction form
    5,512.96/8,272.50 = 5,095/x
  3. Step 3: Cross multiply
    5,512.96x = 8,272.50 × 5,095
  4. Step 4: Simplify right side
    5,512.96x = 42,148,387.50
  5. Step 5: Solve for x
    x = 42,148,387.50/5,512.96
  6. Step 6: Final answer
    x = 7,645.33

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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.