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Finding the Fourth Proportional to 10,954.16, 16,431.32 and 4,382

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Solution

The fourth proportional to 10,954.16, 16,431.32 and 4,382 is: 6,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.16 : 16,431.32 = 4,382 : x
  2. Step 2: Convert to fraction form
    10,954.16/16,431.32 = 4,382/x
  3. Step 3: Cross multiply
    10,954.16x = 16,431.32 × 4,382
  4. Step 4: Simplify right side
    10,954.16x = 72,002,044.24
  5. Step 5: Solve for x
    x = 72,002,044.24/10,954.16
  6. Step 6: Final answer
    x = 6,573.03

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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.