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Finding the Fourth Proportional to 6,966.56, 10,453.42 and 4,628.18

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Solution

The fourth proportional to 6,966.56, 10,453.42 and 4,628.18 is: 6,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.56 : 10,453.42 = 4,628.18 : x
  2. Step 2: Convert to fraction form
    6,966.56/10,453.42 = 4,628.18/x
  3. Step 3: Cross multiply
    6,966.56x = 10,453.42 × 4,628.18
  4. Step 4: Simplify right side
    6,966.56x = 48,380,302.09
  5. Step 5: Solve for x
    x = 48,380,302.09/6,966.56
  6. Step 6: Final answer
    x = 6,944.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.