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Finding the Fourth Proportional to 10,625.70, 14,662.44 and 6,148.56

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Solution

The fourth proportional to 10,625.70, 14,662.44 and 6,148.56 is: 8,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.70 : 14,662.44 = 6,148.56 : x
  2. Step 2: Convert to fraction form
    10,625.70/14,662.44 = 6,148.56/x
  3. Step 3: Cross multiply
    10,625.70x = 14,662.44 × 6,148.56
  4. Step 4: Simplify right side
    10,625.70x = 90,152,892.09
  5. Step 5: Solve for x
    x = 90,152,892.09/10,625.70
  6. Step 6: Final answer
    x = 8,484.42

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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.