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Finding the Fourth Proportional to 8,404.08, 12,609.36 and 3,786

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Solution

The fourth proportional to 8,404.08, 12,609.36 and 3,786 is: 5,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.08 : 12,609.36 = 3,786 : x
  2. Step 2: Convert to fraction form
    8,404.08/12,609.36 = 3,786/x
  3. Step 3: Cross multiply
    8,404.08x = 12,609.36 × 3,786
  4. Step 4: Simplify right side
    8,404.08x = 47,739,036.96
  5. Step 5: Solve for x
    x = 47,739,036.96/8,404.08
  6. Step 6: Final answer
    x = 5,680.46

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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.