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Finding the Fourth Proportional to 8,578.35, 12,866.72 and 4,416.17

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Solution

The fourth proportional to 8,578.35, 12,866.72 and 4,416.17 is: 6,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.35 : 12,866.72 = 4,416.17 : x
  2. Step 2: Convert to fraction form
    8,578.35/12,866.72 = 4,416.17/x
  3. Step 3: Cross multiply
    8,578.35x = 12,866.72 × 4,416.17
  4. Step 4: Simplify right side
    8,578.35x = 56,821,536.45
  5. Step 5: Solve for x
    x = 56,821,536.45/8,578.35
  6. Step 6: Final answer
    x = 6,623.83

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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.