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Finding the Fourth Proportional to 10,612.09, 14,644.99 and 6,135.44

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Solution

The fourth proportional to 10,612.09, 14,644.99 and 6,135.44 is: 8,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.09 : 14,644.99 = 6,135.44 : x
  2. Step 2: Convert to fraction form
    10,612.09/14,644.99 = 6,135.44/x
  3. Step 3: Cross multiply
    10,612.09x = 14,644.99 × 6,135.44
  4. Step 4: Simplify right side
    10,612.09x = 89,853,457.45
  5. Step 5: Solve for x
    x = 89,853,457.45/10,612.09
  6. Step 6: Final answer
    x = 8,467.08

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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.