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Finding the Fourth Proportional to 7,053.46, 10,581.09 and 2,371.46

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Solution

The fourth proportional to 7,053.46, 10,581.09 and 2,371.46 is: 3,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.46 : 10,581.09 = 2,371.46 : x
  2. Step 2: Convert to fraction form
    7,053.46/10,581.09 = 2,371.46/x
  3. Step 3: Cross multiply
    7,053.46x = 10,581.09 × 2,371.46
  4. Step 4: Simplify right side
    7,053.46x = 25,092,631.69
  5. Step 5: Solve for x
    x = 25,092,631.69/7,053.46
  6. Step 6: Final answer
    x = 3,557.49

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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.