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Finding the Fourth Proportional to 8,672.40, 13,007.28 and 2,829

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Solution

The fourth proportional to 8,672.40, 13,007.28 and 2,829 is: 4,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.40 : 13,007.28 = 2,829 : x
  2. Step 2: Convert to fraction form
    8,672.40/13,007.28 = 2,829/x
  3. Step 3: Cross multiply
    8,672.40x = 13,007.28 × 2,829
  4. Step 4: Simplify right side
    8,672.40x = 36,797,595.12
  5. Step 5: Solve for x
    x = 36,797,595.12/8,672.40
  6. Step 6: Final answer
    x = 4,243.07

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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.