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Finding the Fourth Proportional to 10,041, 15,063.54 and 3,020.70

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Solution

The fourth proportional to 10,041, 15,063.54 and 3,020.70 is: 4,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041 : 15,063.54 = 3,020.70 : x
  2. Step 2: Convert to fraction form
    10,041/15,063.54 = 3,020.70/x
  3. Step 3: Cross multiply
    10,041x = 15,063.54 × 3,020.70
  4. Step 4: Simplify right side
    10,041x = 45,502,435.28
  5. Step 5: Solve for x
    x = 45,502,435.28/10,041
  6. Step 6: Final answer
    x = 4,531.66

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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.