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Finding the Fourth Proportional to 11,401.81, 17,088.68 and 8,097.01

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Solution

The fourth proportional to 11,401.81, 17,088.68 and 8,097.01 is: 12,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.81 : 17,088.68 = 8,097.01 : x
  2. Step 2: Convert to fraction form
    11,401.81/17,088.68 = 8,097.01/x
  3. Step 3: Cross multiply
    11,401.81x = 17,088.68 × 8,097.01
  4. Step 4: Simplify right side
    11,401.81x = 138,367,245.45
  5. Step 5: Solve for x
    x = 138,367,245.45/11,401.81
  6. Step 6: Final answer
    x = 12,135.55

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