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Finding the Fourth Proportional to 10,314.92, 15,474.94 and 3,389.24

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Solution

The fourth proportional to 10,314.92, 15,474.94 and 3,389.24 is: 5,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.92 : 15,474.94 = 3,389.24 : x
  2. Step 2: Convert to fraction form
    10,314.92/15,474.94 = 3,389.24/x
  3. Step 3: Cross multiply
    10,314.92x = 15,474.94 × 3,389.24
  4. Step 4: Simplify right side
    10,314.92x = 52,448,285.65
  5. Step 5: Solve for x
    x = 52,448,285.65/10,314.92
  6. Step 6: Final answer
    x = 5,084.70

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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.