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Finding the Fourth Proportional to 8,460.96, 12,687.54 and 3,527.65

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Solution

The fourth proportional to 8,460.96, 12,687.54 and 3,527.65 is: 5,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.96 : 12,687.54 = 3,527.65 : x
  2. Step 2: Convert to fraction form
    8,460.96/12,687.54 = 3,527.65/x
  3. Step 3: Cross multiply
    8,460.96x = 12,687.54 × 3,527.65
  4. Step 4: Simplify right side
    8,460.96x = 44,757,200.48
  5. Step 5: Solve for x
    x = 44,757,200.48/8,460.96
  6. Step 6: Final answer
    x = 5,289.85

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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.