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Finding the Fourth Proportional to 6,711.57, 9,260.46 and 4,058.91

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Solution

The fourth proportional to 6,711.57, 9,260.46 and 4,058.91 is: 5,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.57 : 9,260.46 = 4,058.91 : x
  2. Step 2: Convert to fraction form
    6,711.57/9,260.46 = 4,058.91/x
  3. Step 3: Cross multiply
    6,711.57x = 9,260.46 × 4,058.91
  4. Step 4: Simplify right side
    6,711.57x = 37,587,373.70
  5. Step 5: Solve for x
    x = 37,587,373.70/6,711.57
  6. Step 6: Final answer
    x = 5,600.38

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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.