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Finding the Fourth Proportional to 10,205.70, 15,308.55 and 3,629.70

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Solution

The fourth proportional to 10,205.70, 15,308.55 and 3,629.70 is: 5,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.70 : 15,308.55 = 3,629.70 : x
  2. Step 2: Convert to fraction form
    10,205.70/15,308.55 = 3,629.70/x
  3. Step 3: Cross multiply
    10,205.70x = 15,308.55 × 3,629.70
  4. Step 4: Simplify right side
    10,205.70x = 55,565,443.94
  5. Step 5: Solve for x
    x = 55,565,443.94/10,205.70
  6. Step 6: Final answer
    x = 5,444.55

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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.