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Finding the Fourth Proportional to 10,314, 15,471 and 3,389.04

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Solution

The fourth proportional to 10,314, 15,471 and 3,389.04 is: 5,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 15,471 = 3,389.04 : x
  2. Step 2: Convert to fraction form
    10,314/15,471 = 3,389.04/x
  3. Step 3: Cross multiply
    10,314x = 15,471 × 3,389.04
  4. Step 4: Simplify right side
    10,314x = 52,431,837.84
  5. Step 5: Solve for x
    x = 52,431,837.84/10,314
  6. Step 6: Final answer
    x = 5,083.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.