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Finding the Fourth Proportional to 8,349.19, 12,525 and 2,801.29

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Solution

The fourth proportional to 8,349.19, 12,525 and 2,801.29 is: 4,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.19 : 12,525 = 2,801.29 : x
  2. Step 2: Convert to fraction form
    8,349.19/12,525 = 2,801.29/x
  3. Step 3: Cross multiply
    8,349.19x = 12,525 × 2,801.29
  4. Step 4: Simplify right side
    8,349.19x = 35,086,157.25
  5. Step 5: Solve for x
    x = 35,086,157.25/8,349.19
  6. Step 6: Final answer
    x = 4,202.34

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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.