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Finding the Fourth Proportional to 8,544.96, 12,820.68 and 3,615.84

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Solution

The fourth proportional to 8,544.96, 12,820.68 and 3,615.84 is: 5,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.96 : 12,820.68 = 3,615.84 : x
  2. Step 2: Convert to fraction form
    8,544.96/12,820.68 = 3,615.84/x
  3. Step 3: Cross multiply
    8,544.96x = 12,820.68 × 3,615.84
  4. Step 4: Simplify right side
    8,544.96x = 46,357,527.57
  5. Step 5: Solve for x
    x = 46,357,527.57/8,544.96
  6. Step 6: Final answer
    x = 5,425.13

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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.