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Finding the Fourth Proportional to 10,571.10, 15,827.22 and 5,366.04

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Solution

The fourth proportional to 10,571.10, 15,827.22 and 5,366.04 is: 8,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.10 : 15,827.22 = 5,366.04 : x
  2. Step 2: Convert to fraction form
    10,571.10/15,827.22 = 5,366.04/x
  3. Step 3: Cross multiply
    10,571.10x = 15,827.22 × 5,366.04
  4. Step 4: Simplify right side
    10,571.10x = 84,929,495.61
  5. Step 5: Solve for x
    x = 84,929,495.61/10,571.10
  6. Step 6: Final answer
    x = 8,034.12

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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.