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Finding the Fourth Proportional to 8,562.60, 12,842.10 and 3,632.40

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Solution

The fourth proportional to 8,562.60, 12,842.10 and 3,632.40 is: 5,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.60 : 12,842.10 = 3,632.40 : x
  2. Step 2: Convert to fraction form
    8,562.60/12,842.10 = 3,632.40/x
  3. Step 3: Cross multiply
    8,562.60x = 12,842.10 × 3,632.40
  4. Step 4: Simplify right side
    8,562.60x = 46,647,644.04
  5. Step 5: Solve for x
    x = 46,647,644.04/8,562.60
  6. Step 6: Final answer
    x = 5,447.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.