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Finding the Fourth Proportional to 8,412.50, 11,609.25 and 4,686.74

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Solution

The fourth proportional to 8,412.50, 11,609.25 and 4,686.74 is: 6,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.50 : 11,609.25 = 4,686.74 : x
  2. Step 2: Convert to fraction form
    8,412.50/11,609.25 = 4,686.74/x
  3. Step 3: Cross multiply
    8,412.50x = 11,609.25 × 4,686.74
  4. Step 4: Simplify right side
    8,412.50x = 54,409,536.35
  5. Step 5: Solve for x
    x = 54,409,536.35/8,412.50
  6. Step 6: Final answer
    x = 6,467.70

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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.