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Finding the Fourth Proportional to 10,595.82, 15,894.14 and 3,200.28

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Solution

The fourth proportional to 10,595.82, 15,894.14 and 3,200.28 is: 4,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.82 : 15,894.14 = 3,200.28 : x
  2. Step 2: Convert to fraction form
    10,595.82/15,894.14 = 3,200.28/x
  3. Step 3: Cross multiply
    10,595.82x = 15,894.14 × 3,200.28
  4. Step 4: Simplify right side
    10,595.82x = 50,865,698.36
  5. Step 5: Solve for x
    x = 50,865,698.36/10,595.82
  6. Step 6: Final answer
    x = 4,800.54

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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.