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Finding the Fourth Proportional to 8,650.68, 11,938.22 and 5,295

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Solution

The fourth proportional to 8,650.68, 11,938.22 and 5,295 is: 7,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.68 : 11,938.22 = 5,295 : x
  2. Step 2: Convert to fraction form
    8,650.68/11,938.22 = 5,295/x
  3. Step 3: Cross multiply
    8,650.68x = 11,938.22 × 5,295
  4. Step 4: Simplify right side
    8,650.68x = 63,212,874.90
  5. Step 5: Solve for x
    x = 63,212,874.90/8,650.68
  6. Step 6: Final answer
    x = 7,307.27

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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.