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Finding the Fourth Proportional to 7,084.56, 10,628.75 and 6,309.88

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Solution

The fourth proportional to 7,084.56, 10,628.75 and 6,309.88 is: 9,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.56 : 10,628.75 = 6,309.88 : x
  2. Step 2: Convert to fraction form
    7,084.56/10,628.75 = 6,309.88/x
  3. Step 3: Cross multiply
    7,084.56x = 10,628.75 × 6,309.88
  4. Step 4: Simplify right side
    7,084.56x = 67,066,137.05
  5. Step 5: Solve for x
    x = 67,066,137.05/7,084.56
  6. Step 6: Final answer
    x = 9,466.52

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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.