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Finding the Fourth Proportional to 10,664.49, 14,712.23 and 6,185.64

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Solution

The fourth proportional to 10,664.49, 14,712.23 and 6,185.64 is: 8,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.49 : 14,712.23 = 6,185.64 : x
  2. Step 2: Convert to fraction form
    10,664.49/14,712.23 = 6,185.64/x
  3. Step 3: Cross multiply
    10,664.49x = 14,712.23 × 6,185.64
  4. Step 4: Simplify right side
    10,664.49x = 91,004,527.45
  5. Step 5: Solve for x
    x = 91,004,527.45/10,664.49
  6. Step 6: Final answer
    x = 8,533.42

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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.