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Finding the Fourth Proportional to 10,452.12, 15,679.80 and 3,525

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Solution

The fourth proportional to 10,452.12, 15,679.80 and 3,525 is: 5,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.12 : 15,679.80 = 3,525 : x
  2. Step 2: Convert to fraction form
    10,452.12/15,679.80 = 3,525/x
  3. Step 3: Cross multiply
    10,452.12x = 15,679.80 × 3,525
  4. Step 4: Simplify right side
    10,452.12x = 55,271,295
  5. Step 5: Solve for x
    x = 55,271,295/10,452.12
  6. Step 6: Final answer
    x = 5,288.05

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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.