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Finding the Fourth Proportional to 11,292.84, 16,943.36 and 6,022.32

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Solution

The fourth proportional to 11,292.84, 16,943.36 and 6,022.32 is: 9,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.84 : 16,943.36 = 6,022.32 : x
  2. Step 2: Convert to fraction form
    11,292.84/16,943.36 = 6,022.32/x
  3. Step 3: Cross multiply
    11,292.84x = 16,943.36 × 6,022.32
  4. Step 4: Simplify right side
    11,292.84x = 102,038,335.80
  5. Step 5: Solve for x
    x = 102,038,335.80/11,292.84
  6. Step 6: Final answer
    x = 9,035.67

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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.