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Finding the Fourth Proportional to 8,412.62, 11,609.63 and 4,686.70

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Solution

The fourth proportional to 8,412.62, 11,609.63 and 4,686.70 is: 6,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.62 : 11,609.63 = 4,686.70 : x
  2. Step 2: Convert to fraction form
    8,412.62/11,609.63 = 4,686.70/x
  3. Step 3: Cross multiply
    8,412.62x = 11,609.63 × 4,686.70
  4. Step 4: Simplify right side
    8,412.62x = 54,410,852.92
  5. Step 5: Solve for x
    x = 54,410,852.92/8,412.62
  6. Step 6: Final answer
    x = 6,467.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.