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Finding the Fourth Proportional to 10,070.96, 15,108.05 and 3,499.02

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Solution

The fourth proportional to 10,070.96, 15,108.05 and 3,499.02 is: 5,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.96 : 15,108.05 = 3,499.02 : x
  2. Step 2: Convert to fraction form
    10,070.96/15,108.05 = 3,499.02/x
  3. Step 3: Cross multiply
    10,070.96x = 15,108.05 × 3,499.02
  4. Step 4: Simplify right side
    10,070.96x = 52,863,377.86
  5. Step 5: Solve for x
    x = 52,863,377.86/10,070.96
  6. Step 6: Final answer
    x = 5,249.09

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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.