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Finding the Fourth Proportional to 6,702.13, 10,057.80 and 3,008.49

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Solution

The fourth proportional to 6,702.13, 10,057.80 and 3,008.49 is: 4,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.13 : 10,057.80 = 3,008.49 : x
  2. Step 2: Convert to fraction form
    6,702.13/10,057.80 = 3,008.49/x
  3. Step 3: Cross multiply
    6,702.13x = 10,057.80 × 3,008.49
  4. Step 4: Simplify right side
    6,702.13x = 30,258,820.86
  5. Step 5: Solve for x
    x = 30,258,820.86/6,702.13
  6. Step 6: Final answer
    x = 4,514.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.