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Finding the Fourth Proportional to 10,753.56, 16,124.06 and 4,172.06

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Solution

The fourth proportional to 10,753.56, 16,124.06 and 4,172.06 is: 6,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.56 : 16,124.06 = 4,172.06 : x
  2. Step 2: Convert to fraction form
    10,753.56/16,124.06 = 4,172.06/x
  3. Step 3: Cross multiply
    10,753.56x = 16,124.06 × 4,172.06
  4. Step 4: Simplify right side
    10,753.56x = 67,270,505.81
  5. Step 5: Solve for x
    x = 67,270,505.81/10,753.56
  6. Step 6: Final answer
    x = 6,255.65

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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.