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Finding the Fourth Proportional to 10,536.75, 15,782.65 and 6,827.96

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Solution

The fourth proportional to 10,536.75, 15,782.65 and 6,827.96 is: 10,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.75 : 15,782.65 = 6,827.96 : x
  2. Step 2: Convert to fraction form
    10,536.75/15,782.65 = 6,827.96/x
  3. Step 3: Cross multiply
    10,536.75x = 15,782.65 × 6,827.96
  4. Step 4: Simplify right side
    10,536.75x = 107,763,325.28
  5. Step 5: Solve for x
    x = 107,763,325.28/10,536.75
  6. Step 6: Final answer
    x = 10,227.38

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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.