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Finding the Fourth Proportional to 8,575.96, 12,863.92 and 5,632.98

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Solution

The fourth proportional to 8,575.96, 12,863.92 and 5,632.98 is: 8,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.96 : 12,863.92 = 5,632.98 : x
  2. Step 2: Convert to fraction form
    8,575.96/12,863.92 = 5,632.98/x
  3. Step 3: Cross multiply
    8,575.96x = 12,863.92 × 5,632.98
  4. Step 4: Simplify right side
    8,575.96x = 72,462,204.08
  5. Step 5: Solve for x
    x = 72,462,204.08/8,575.96
  6. Step 6: Final answer
    x = 8,449.46

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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.