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Finding the Fourth Proportional to 7,217, 10,829.84 and 3,113

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Solution

The fourth proportional to 7,217, 10,829.84 and 3,113 is: 4,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217 : 10,829.84 = 3,113 : x
  2. Step 2: Convert to fraction form
    7,217/10,829.84 = 3,113/x
  3. Step 3: Cross multiply
    7,217x = 10,829.84 × 3,113
  4. Step 4: Simplify right side
    7,217x = 33,713,291.92
  5. Step 5: Solve for x
    x = 33,713,291.92/7,217
  6. Step 6: Final answer
    x = 4,671.37

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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.