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Finding the Fourth Proportional to 7,024.52, 9,694.11 and 4,040.35

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Solution

The fourth proportional to 7,024.52, 9,694.11 and 4,040.35 is: 5,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.52 : 9,694.11 = 4,040.35 : x
  2. Step 2: Convert to fraction form
    7,024.52/9,694.11 = 4,040.35/x
  3. Step 3: Cross multiply
    7,024.52x = 9,694.11 × 4,040.35
  4. Step 4: Simplify right side
    7,024.52x = 39,167,573.10
  5. Step 5: Solve for x
    x = 39,167,573.10/7,024.52
  6. Step 6: Final answer
    x = 5,575.84

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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.