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Finding the Fourth Proportional to 10,612.31, 14,644.64 and 6,136.25

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Solution

The fourth proportional to 10,612.31, 14,644.64 and 6,136.25 is: 8,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.31 : 14,644.64 = 6,136.25 : x
  2. Step 2: Convert to fraction form
    10,612.31/14,644.64 = 6,136.25/x
  3. Step 3: Cross multiply
    10,612.31x = 14,644.64 × 6,136.25
  4. Step 4: Simplify right side
    10,612.31x = 89,863,068.30
  5. Step 5: Solve for x
    x = 89,863,068.30/10,612.31
  6. Step 6: Final answer
    x = 8,467.82

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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.