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Finding the Fourth Proportional to 7,684.80, 11,527.20 and 4,404.30

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Solution

The fourth proportional to 7,684.80, 11,527.20 and 4,404.30 is: 6,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.80 : 11,527.20 = 4,404.30 : x
  2. Step 2: Convert to fraction form
    7,684.80/11,527.20 = 4,404.30/x
  3. Step 3: Cross multiply
    7,684.80x = 11,527.20 × 4,404.30
  4. Step 4: Simplify right side
    7,684.80x = 50,769,246.96
  5. Step 5: Solve for x
    x = 50,769,246.96/7,684.80
  6. Step 6: Final answer
    x = 6,606.45

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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.