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Finding the Fourth Proportional to 10,693.17, 14,755.50 and 6,216.84

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Solution

The fourth proportional to 10,693.17, 14,755.50 and 6,216.84 is: 8,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.17 : 14,755.50 = 6,216.84 : x
  2. Step 2: Convert to fraction form
    10,693.17/14,755.50 = 6,216.84/x
  3. Step 3: Cross multiply
    10,693.17x = 14,755.50 × 6,216.84
  4. Step 4: Simplify right side
    10,693.17x = 91,732,582.62
  5. Step 5: Solve for x
    x = 91,732,582.62/10,693.17
  6. Step 6: Final answer
    x = 8,578.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.