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Finding the Fourth Proportional to 8,553.34, 12,833.19 and 5,228.41

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Solution

The fourth proportional to 8,553.34, 12,833.19 and 5,228.41 is: 7,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.34 : 12,833.19 = 5,228.41 : x
  2. Step 2: Convert to fraction form
    8,553.34/12,833.19 = 5,228.41/x
  3. Step 3: Cross multiply
    8,553.34x = 12,833.19 × 5,228.41
  4. Step 4: Simplify right side
    8,553.34x = 67,097,114.76
  5. Step 5: Solve for x
    x = 67,097,114.76/8,553.34
  6. Step 6: Final answer
    x = 7,844.56

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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.