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Finding the Fourth Proportional to 7,678.89, 10,596.87 and 4,321.71

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Solution

The fourth proportional to 7,678.89, 10,596.87 and 4,321.71 is: 5,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.89 : 10,596.87 = 4,321.71 : x
  2. Step 2: Convert to fraction form
    7,678.89/10,596.87 = 4,321.71/x
  3. Step 3: Cross multiply
    7,678.89x = 10,596.87 × 4,321.71
  4. Step 4: Simplify right side
    7,678.89x = 45,796,599.05
  5. Step 5: Solve for x
    x = 45,796,599.05/7,678.89
  6. Step 6: Final answer
    x = 5,963.96

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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.