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Finding the Fourth Proportional to 7,595.12, 11,397 and 3,702.80

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Solution

The fourth proportional to 7,595.12, 11,397 and 3,702.80 is: 5,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.12 : 11,397 = 3,702.80 : x
  2. Step 2: Convert to fraction form
    7,595.12/11,397 = 3,702.80/x
  3. Step 3: Cross multiply
    7,595.12x = 11,397 × 3,702.80
  4. Step 4: Simplify right side
    7,595.12x = 42,200,754.62
  5. Step 5: Solve for x
    x = 42,200,754.62/7,595.12
  6. Step 6: Final answer
    x = 5,556.30

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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.