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Finding the Fourth Proportional to 10,553.61, 15,819.03 and 6,858.50

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Solution

The fourth proportional to 10,553.61, 15,819.03 and 6,858.50 is: 10,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.61 : 15,819.03 = 6,858.50 : x
  2. Step 2: Convert to fraction form
    10,553.61/15,819.03 = 6,858.50/x
  3. Step 3: Cross multiply
    10,553.61x = 15,819.03 × 6,858.50
  4. Step 4: Simplify right side
    10,553.61x = 108,494,738.16
  5. Step 5: Solve for x
    x = 108,494,738.16/10,553.61
  6. Step 6: Final answer
    x = 10,280.34

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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.