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Finding the Fourth Proportional to 10,157.68, 15,245.16 and 4,006

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Solution

The fourth proportional to 10,157.68, 15,245.16 and 4,006 is: 6,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.68 : 15,245.16 = 4,006 : x
  2. Step 2: Convert to fraction form
    10,157.68/15,245.16 = 4,006/x
  3. Step 3: Cross multiply
    10,157.68x = 15,245.16 × 4,006
  4. Step 4: Simplify right side
    10,157.68x = 61,072,110.96
  5. Step 5: Solve for x
    x = 61,072,110.96/10,157.68
  6. Step 6: Final answer
    x = 6,012.41

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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.