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Finding the Fourth Proportional to 8,235.41, 11,358.29 and 7,238.57

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Solution

The fourth proportional to 8,235.41, 11,358.29 and 7,238.57 is: 9,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.41 : 11,358.29 = 7,238.57 : x
  2. Step 2: Convert to fraction form
    8,235.41/11,358.29 = 7,238.57/x
  3. Step 3: Cross multiply
    8,235.41x = 11,358.29 × 7,238.57
  4. Step 4: Simplify right side
    8,235.41x = 82,217,738.55
  5. Step 5: Solve for x
    x = 82,217,738.55/8,235.41
  6. Step 6: Final answer
    x = 9,983.45

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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.