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Finding the Fourth Proportional to 12,662.94, 17,475.53 and 7,628.75

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Solution

The fourth proportional to 12,662.94, 17,475.53 and 7,628.75 is: 10,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.94 : 17,475.53 = 7,628.75 : x
  2. Step 2: Convert to fraction form
    12,662.94/17,475.53 = 7,628.75/x
  3. Step 3: Cross multiply
    12,662.94x = 17,475.53 × 7,628.75
  4. Step 4: Simplify right side
    12,662.94x = 133,316,449.49
  5. Step 5: Solve for x
    x = 133,316,449.49/12,662.94
  6. Step 6: Final answer
    x = 10,528.08

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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.