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Finding the Fourth Proportional to 10,678.68, 14,735.46 and 6,201.56

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Solution

The fourth proportional to 10,678.68, 14,735.46 and 6,201.56 is: 8,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.68 : 14,735.46 = 6,201.56 : x
  2. Step 2: Convert to fraction form
    10,678.68/14,735.46 = 6,201.56/x
  3. Step 3: Cross multiply
    10,678.68x = 14,735.46 × 6,201.56
  4. Step 4: Simplify right side
    10,678.68x = 91,382,839.32
  5. Step 5: Solve for x
    x = 91,382,839.32/10,678.68
  6. Step 6: Final answer
    x = 8,557.50

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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.