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Finding the Fourth Proportional to 8,575.84, 12,863.73 and 5,632.86

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Solution

The fourth proportional to 8,575.84, 12,863.73 and 5,632.86 is: 8,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.84 : 12,863.73 = 5,632.86 : x
  2. Step 2: Convert to fraction form
    8,575.84/12,863.73 = 5,632.86/x
  3. Step 3: Cross multiply
    8,575.84x = 12,863.73 × 5,632.86
  4. Step 4: Simplify right side
    8,575.84x = 72,459,590.17
  5. Step 5: Solve for x
    x = 72,459,590.17/8,575.84
  6. Step 6: Final answer
    x = 8,449.27

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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.