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Finding the Fourth Proportional to 11,797.68, 17,696.50 and 8,088.66

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Solution

The fourth proportional to 11,797.68, 17,696.50 and 8,088.66 is: 12,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.68 : 17,696.50 = 8,088.66 : x
  2. Step 2: Convert to fraction form
    11,797.68/17,696.50 = 8,088.66/x
  3. Step 3: Cross multiply
    11,797.68x = 17,696.50 × 8,088.66
  4. Step 4: Simplify right side
    11,797.68x = 143,140,964.98
  5. Step 5: Solve for x
    x = 143,140,964.98/11,797.68
  6. Step 6: Final answer
    x = 12,132.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.