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Finding the Fourth Proportional to 8,302.60, 11,434.26 and 8,121.16

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Solution

The fourth proportional to 8,302.60, 11,434.26 and 8,121.16 is: 11,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.60 : 11,434.26 = 8,121.16 : x
  2. Step 2: Convert to fraction form
    8,302.60/11,434.26 = 8,121.16/x
  3. Step 3: Cross multiply
    8,302.60x = 11,434.26 × 8,121.16
  4. Step 4: Simplify right side
    8,302.60x = 92,859,454.94
  5. Step 5: Solve for x
    x = 92,859,454.94/8,302.60
  6. Step 6: Final answer
    x = 11,184.38

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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.