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Finding the Fourth Proportional to 7,024.57, 9,694.41 and 4,041.34

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Solution

The fourth proportional to 7,024.57, 9,694.41 and 4,041.34 is: 5,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.57 : 9,694.41 = 4,041.34 : x
  2. Step 2: Convert to fraction form
    7,024.57/9,694.41 = 4,041.34/x
  3. Step 3: Cross multiply
    7,024.57x = 9,694.41 × 4,041.34
  4. Step 4: Simplify right side
    7,024.57x = 39,178,406.91
  5. Step 5: Solve for x
    x = 39,178,406.91/7,024.57
  6. Step 6: Final answer
    x = 5,577.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.