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Finding the Fourth Proportional to 8,436.60, 11,557.95 and 8,121.09

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Solution

The fourth proportional to 8,436.60, 11,557.95 and 8,121.09 is: 11,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.60 : 11,557.95 = 8,121.09 : x
  2. Step 2: Convert to fraction form
    8,436.60/11,557.95 = 8,121.09/x
  3. Step 3: Cross multiply
    8,436.60x = 11,557.95 × 8,121.09
  4. Step 4: Simplify right side
    8,436.60x = 93,863,152.17
  5. Step 5: Solve for x
    x = 93,863,152.17/8,436.60
  6. Step 6: Final answer
    x = 11,125.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.