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Finding the Fourth Proportional to 7,687.12, 10,585.86 and 6,678.36

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Solution

The fourth proportional to 7,687.12, 10,585.86 and 6,678.36 is: 9,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.12 : 10,585.86 = 6,678.36 : x
  2. Step 2: Convert to fraction form
    7,687.12/10,585.86 = 6,678.36/x
  3. Step 3: Cross multiply
    7,687.12x = 10,585.86 × 6,678.36
  4. Step 4: Simplify right side
    7,687.12x = 70,696,183.99
  5. Step 5: Solve for x
    x = 70,696,183.99/7,687.12
  6. Step 6: Final answer
    x = 9,196.71

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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.