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Finding the Fourth Proportional to 8,669.67, 13,004.10 and 3,471.90

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Solution

The fourth proportional to 8,669.67, 13,004.10 and 3,471.90 is: 5,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.67 : 13,004.10 = 3,471.90 : x
  2. Step 2: Convert to fraction form
    8,669.67/13,004.10 = 3,471.90/x
  3. Step 3: Cross multiply
    8,669.67x = 13,004.10 × 3,471.90
  4. Step 4: Simplify right side
    8,669.67x = 45,148,934.79
  5. Step 5: Solve for x
    x = 45,148,934.79/8,669.67
  6. Step 6: Final answer
    x = 5,207.69

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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.