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Finding the Fourth Proportional to 7,678.92, 10,596.81 and 4,321.74

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Solution

The fourth proportional to 7,678.92, 10,596.81 and 4,321.74 is: 5,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.92 : 10,596.81 = 4,321.74 : x
  2. Step 2: Convert to fraction form
    7,678.92/10,596.81 = 4,321.74/x
  3. Step 3: Cross multiply
    7,678.92x = 10,596.81 × 4,321.74
  4. Step 4: Simplify right side
    7,678.92x = 45,796,657.65
  5. Step 5: Solve for x
    x = 45,796,657.65/7,678.92
  6. Step 6: Final answer
    x = 5,963.95

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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.