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Finding the Fourth Proportional to 8,624.80, 11,894.40 and 5,639.68

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Solution

The fourth proportional to 8,624.80, 11,894.40 and 5,639.68 is: 7,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.80 : 11,894.40 = 5,639.68 : x
  2. Step 2: Convert to fraction form
    8,624.80/11,894.40 = 5,639.68/x
  3. Step 3: Cross multiply
    8,624.80x = 11,894.40 × 5,639.68
  4. Step 4: Simplify right side
    8,624.80x = 67,080,609.79
  5. Step 5: Solve for x
    x = 67,080,609.79/8,624.80
  6. Step 6: Final answer
    x = 7,777.64

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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.